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22374314920 = 2351573562789
BaseRepresentation
bin10100110101100111…
…001111001110101000
32010202022012222000101
4110311213033032220
5331310311034140
614140103115144
71421312352556
oct246547171650
963668188011
1022374314920
119541798a61
124405142ab4
13215756c5c9
14112377abd6
158ae41b99a
hex5359cf3a8

22374314920 has 32 divisors (see below), whose sum is σ = 50662873800. Its totient is φ = 8892718848.

The previous prime is 22374314917. The next prime is 22374314927. The reversal of 22374314920 is 2941347322.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 16760409444 + 5613905476 = 129462^2 + 74926^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 22374314920.

It is not an unprimeable number, because it can be changed into a prime (22374314927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1775115 + ... + 1787674.

Almost surely, 222374314920 is an apocalyptic number.

22374314920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22374314920 is an abundant number, since it is smaller than the sum of its proper divisors (28288558880).

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

22374314920 is a wasteful number, since it uses less digits than its factorization.

22374314920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3562957 (or 3562953 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The spelling of 22374314920 in words is "twenty-two billion, three hundred seventy-four million, three hundred fourteen thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 157 314 628 785 1256 1570 3140 6280 3562789 7125578 14251156 17813945 28502312 35627890 71255780 142511560 559357873 1118715746 2237431492 2796789365 4474862984 5593578730 11187157460 22374314920