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22132002032 = 2475319131949
BaseRepresentation
bin10100100111001010…
…111000110011110000
32010010102021012012222
4110213022320303300
5330311243031112
614100045340212
71412310625160
oct244712706360
963112235188
1022132002032
119427a35778
124357b67668
1321192bbaba
1410dd5025a0
15898005372
hex5272b8cf0

22132002032 has 80 divisors (see below), whose sum is σ = 49982961600. Its totient is φ = 9296541696.

The previous prime is 22132002031. The next prime is 22132002049. The reversal of 22132002032 is 23020023122.

It is a self number, because there is not a number n which added to its sum of digits gives 22132002032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22132002031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11354594 + ... + 11356542.

It is an arithmetic number, because the mean of its divisors is an integer number (624787020).

Almost surely, 222132002032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22132002032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24991480800).

22132002032 is an abundant number, since it is smaller than the sum of its proper divisors (27850959568).

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

22132002032 is a wasteful number, since it uses less digits than its factorization.

22132002032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3930 (or 3924 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 22132002032 its reverse (23020023122), we get a palindrome (45152025154).

The spelling of 22132002032 in words is "twenty-two billion, one hundred thirty-two million, two thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 53 56 106 112 212 371 424 742 848 1484 1913 1949 2968 3826 3898 5936 7652 7796 13391 13643 15304 15592 26782 27286 30608 31184 53564 54572 101389 103297 107128 109144 202778 206594 214256 218288 405556 413188 709723 723079 811112 826376 1419446 1446158 1622224 1652752 2838892 2892316 3728437 5677784 5784632 7456874 11355568 11569264 14913748 26099059 29827496 52198118 59654992 104396236 197607161 208792472 395214322 417584944 790428644 1383250127 1580857288 2766500254 3161714576 5533000508 11066001016 22132002032