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23002220032 = 29112371291
BaseRepresentation
bin10101011011000010…
…100000011000000000
32012101001201211220021
4111123002200120000
5334102032020112
614322253223224
71443005433661
oct253302403000
965331654807
1023002220032
119834176400
12455b491b14
1322276887ac
141182d09368
158e95ec907
hex55b0a0600

23002220032 has 60 divisors (see below), whose sum is σ = 50517618228. Its totient is φ = 10455526400.

The previous prime is 23002220027. The next prime is 23002220041.

23002220032 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 23002219988 and 23002220015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 123694 + ... + 247597.

Almost surely, 223002220032 is an apocalyptic number.

23002220032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23002220032 is an abundant number, since it is smaller than the sum of its proper divisors (27515398196).

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

23002220032 is an equidigital number, since it uses as much as digits as its factorization.

23002220032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371331 (or 371304 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The spelling of 23002220032 in words is "twenty-three billion, two million, two hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 704 968 1408 1936 2816 3872 5632 7744 15488 30976 61952 371291 742582 1485164 2970328 4084201 5940656 8168402 11881312 16336804 23762624 32673608 44926211 47525248 65347216 89852422 95050496 130694432 179704844 190100992 261388864 359409688 522777728 718819376 1045555456 1437638752 2091110912 2875277504 5750555008 11501110016 23002220032