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23215024864 = 2589149227241
BaseRepresentation
bin10101100111101110…
…010010101011100000
32012220220011110020201
4111213232102223200
5340021021243424
614355334314544
71451201312143
oct254756225340
965826143221
1023215024864
119933304869
1245ba7b8a54
13225c7a7205
1411a32a205a
1590d135d44
hex567b92ae0

23215024864 has 96 divisors (see below), whose sum is σ = 46927188000. Its totient is φ = 11302748160.

The previous prime is 23215024837. The next prime is 23215024867. The reversal of 23215024864 is 46842051232.

It is a super-3 number, since 3×232150248643 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23215024867) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96327784 + ... + 96328024.

It is an arithmetic number, because the mean of its divisors is an integer number (488824875).

Almost surely, 223215024864 is an apocalyptic number.

It is an amenable number.

23215024864 is an abundant number, since it is smaller than the sum of its proper divisors (23712163136).

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

23215024864 is a wasteful number, since it uses less digits than its factorization.

23215024864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The spelling of 23215024864 in words is "twenty-three billion, two hundred fifteen million, twenty-four thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 89 149 178 227 241 298 356 454 482 596 712 908 964 1192 1424 1816 1928 2384 2848 3632 3856 4768 7264 7712 13261 20203 21449 26522 33823 35909 40406 42898 53044 54707 67646 71818 80812 85796 106088 109414 135292 143636 161624 171592 212176 218828 270584 287272 323248 343184 424352 437656 541168 574544 646496 686368 875312 1082336 1149088 1750624 3010247 3195901 4868923 6020494 6391802 8151343 9737846 12040988 12783604 16302686 19475692 24081976 25567208 32605372 38951384 48163952 51134416 65210744 77902768 96327904 102268832 130421488 155805536 260842976 725469527 1450939054 2901878108 5803756216 11607512432 23215024864