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13222301232 = 2437413532719
BaseRepresentation
bin11000101000001110…
…00100111000110000
31021010111002111102110
430110013010320300
5204034402114412
610024011445320
7645442464120
oct142407047060
937114074373
1013222301232
11567570a688
122690156840
1313294669aa
148d60b4c80
15525c13d3c
hex3141c4e30

13222301232 has 160 divisors (see below), whose sum is σ = 40117432320. Its totient is φ = 3673866240.

The previous prime is 13222301201. The next prime is 13222301233. The reversal of 13222301232 is 23210322231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 13222301199 and 13222301208.

It is not an unprimeable number, because it can be changed into a prime (13222301233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4861569 + ... + 4864287.

It is an arithmetic number, because the mean of its divisors is an integer number (250733952).

Almost surely, 213222301232 is an apocalyptic number.

13222301232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13222301232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20058716160).

13222301232 is an abundant number, since it is smaller than the sum of its proper divisors (26895131088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13222301232 is a wasteful number, since it uses less digits than its factorization.

13222301232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3131 (or 3125 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 13222301232 its reverse (23210322231), we get a palindrome (36432623463).

The spelling of 13222301232 in words is "thirteen billion, two hundred twenty-two million, three hundred one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 56 82 84 112 123 164 168 246 287 328 336 353 492 574 656 706 861 984 1059 1148 1412 1722 1968 2118 2296 2471 2719 2824 3444 4236 4592 4942 5438 5648 6888 7413 8157 8472 9884 10876 13776 14473 14826 16314 16944 19033 19768 21752 28946 29652 32628 38066 39536 43419 43504 57099 57892 59304 65256 76132 86838 101311 111479 114198 115784 118608 130512 152264 173676 202622 222958 228396 231568 303933 304528 334437 347352 405244 445916 456792 607866 668874 694704 780353 810488 891832 913584 959807 1215732 1337748 1560706 1620976 1783664 1919614 2341059 2431464 2675496 2879421 3121412 3839228 4682118 4862928 5350992 5758842 6242824 6718649 7678456 9364236 11517684 12485648 13437298 15356912 18728472 20155947 23035368 26874596 37456944 39352087 40311894 46070736 53749192 78704174 80623788 107498384 118056261 157408348 161247576 236112522 275464609 314816696 322495152 472225044 550929218 629633392 826393827 944450088 1101858436 1652787654 1888900176 2203716872 3305575308 4407433744 6611150616 13222301232