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22402904976 = 2432124732
BaseRepresentation
bin10100110111010100…
…010011001110010000
32010211022000111012100
4110313110103032100
5331340120424401
614143004000400
71422110356524
oct246724231620
963738014170
1022402904976
119556946101
124412830100
13216046c8ba
14112749dd84
158b1bb7b86
hex537513390

22402904976 has 45 divisors (see below), whose sum is σ = 62702045809. Its totient is φ = 7467036288.

The previous prime is 22402904941. The next prime is 22402904977. The reversal of 22402904976 is 67940920422.

It is a happy number.

The square root of 22402904976 is 149676.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 15650010000 + 6752894976 = 125100^2 + 82176^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22402904977) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1789876 + ... + 1802348.

Almost surely, 222402904976 is an apocalyptic number.

22402904976 is the 149676-th square number.

It is an amenable number.

22402904976 is an abundant number, since it is smaller than the sum of its proper divisors (40299140833).

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

22402904976 is an frugal number, since it uses more digits than its factorization.

22402904976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24960 (or 12478 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 22402904976 in words is "twenty-two billion, four hundred two million, nine hundred four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 12473 24946 37419 49892 74838 99784 112257 149676 199568 224514 299352 449028 598704 898056 1796112 155575729 311151458 466727187 622302916 933454374 1244605832 1400181561 1866908748 2489211664 2800363122 3733817496 5600726244 7467634992 11201452488 22402904976