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21223320032 = 254118798609
BaseRepresentation
bin10011110001000000…
…100010100111100000
32000210002102100212002
4103301000202213200
5321431132220112
613425545223132
71350635146415
oct236100424740
960702370762
1021223320032
119001013512
124143791aa8
132002c75745
14105496610c
158433611c2
hex4f10229e0

21223320032 has 48 divisors (see below), whose sum is σ = 42830272800. Its totient is φ = 10346127360.

The previous prime is 21223320031. The next prime is 21223320043. The reversal of 21223320032 is 23002332212.

It is a junction number, because it is equal to n+sod(n) for n = 21223319986 and 21223320013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21223320031) 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 7 ways as a sum of consecutive naturals, for example, 2460944 + ... + 2469552.

It is an arithmetic number, because the mean of its divisors is an integer number (892297350).

Almost surely, 221223320032 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 21223320032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21415136400).

21223320032 is an abundant number, since it is smaller than the sum of its proper divisors (21606952768).

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

21223320032 is a wasteful number, since it uses less digits than its factorization.

21223320032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10539 (or 10531 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 21223320032 its reverse (23002332212), we get a palindrome (44225652244).

The spelling of 21223320032 in words is "twenty-one billion, two hundred twenty-three million, three hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 1312 1879 3758 7516 8609 15032 17218 30064 34436 60128 68872 77039 137744 154078 275488 308156 352969 616312 705938 1232624 1411876 2465248 2823752 5647504 11295008 16176311 32352622 64705244 129410488 258820976 517641952 663228751 1326457502 2652915004 5305830008 10611660016 21223320032