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22315212520 = 2351732816489
BaseRepresentation
bin10100110010000101…
…110001111011101000
32010121012000020202121
4110302011301323220
5331200143300040
614130152241024
71416664114426
oct246205617350
963535006677
1022315212520
1195113a04a7
1243a93a0174
132148248083
141119994116
158a9144c4a
hex532171ee8

22315212520 has 32 divisors (see below), whose sum is σ = 53162713800. Its totient is φ = 8401020928.

The previous prime is 22315212497. The next prime is 22315212529. The reversal of 22315212520 is 2521251322.

It can be written as a sum of positive squares in 4 ways, for example, as 22313786884 + 1425636 = 149378^2 + 1194^2 .

It is a super-3 number, since 3×223152125203 (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (22315212529) 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 7 ways as a sum of consecutive naturals, for example, 16407565 + ... + 16408924.

Almost surely, 222315212520 is an apocalyptic number.

22315212520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22315212520 is an abundant number, since it is smaller than the sum of its proper divisors (30847501280).

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

22315212520 is a wasteful number, since it uses less digits than its factorization.

22315212520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32816517 (or 32816513 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 22315212520 its reverse (2521251322), we get a palindrome (24836463842).

The spelling of 22315212520 in words is "twenty-two billion, three hundred fifteen million, two hundred twelve thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 32816489 65632978 131265956 164082445 262531912 328164890 557880313 656329780 1115760626 1312659560 2231521252 2789401565 4463042504 5578803130 11157606260 22315212520