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22012320 = 2535112379
BaseRepresentation
bin101001111111…
…0000110100000
31112102100020010
41103332012200
521113343240
62103444520
7355046601
oct123760640
945370203
1022012320
1111475200
127456740
134739355
142ccdda8
151dec280
hex14fe1a0

22012320 has 144 divisors (see below), whose sum is σ = 76416480. Its totient is φ = 5322240.

The previous prime is 22012303. The next prime is 22012321. The reversal of 22012320 is 2321022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 22012296 and 22012305.

It is not an unprimeable number, because it can be changed into a prime (22012321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57891 + ... + 58269.

It is an arithmetic number, because the mean of its divisors is an integer number (530670).

Almost surely, 222012320 is an apocalyptic number.

22012320 is a gapful number since it is divisible by the number (20) 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 22012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38208240).

22012320 is an abundant number, since it is smaller than the sum of its proper divisors (54404160).

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

22012320 is a wasteful number, since it uses less digits than its factorization.

22012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 22012320 is about 4691.7288924233. The cubic root of 22012320 is about 280.2562280392.

Adding to 22012320 its reverse (2321022), we get a palindrome (24333342).

The spelling of 22012320 in words is "twenty-two million, twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 121 132 160 165 176 220 240 242 264 330 352 363 379 440 480 484 528 605 660 726 758 880 968 1056 1137 1210 1320 1452 1516 1760 1815 1895 1936 2274 2420 2640 2904 3032 3630 3790 3872 4169 4548 4840 5280 5685 5808 6064 7260 7580 8338 9096 9680 11370 11616 12128 12507 14520 15160 16676 18192 19360 20845 22740 25014 29040 30320 33352 36384 41690 45480 45859 50028 58080 60640 62535 66704 83380 90960 91718 100056 125070 133408 137577 166760 181920 183436 200112 229295 250140 275154 333520 366872 400224 458590 500280 550308 667040 687885 733744 917180 1000560 1100616 1375770 1467488 1834360 2001120 2201232 2751540 3668720 4402464 5503080 7337440 11006160 22012320