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23224740864 = 210313581549
BaseRepresentation
bin10101101000010011…
…010110110000000000
32012221120110002002120
4111220103112300000
5340031013201424
614400322444240
71451350016523
oct255023266000
965846402076
1023224740864
119938840616
124601b03680
1322617c9720
1411a46b0bba
1590de04a79
hex5684d6c00

23224740864 has 88 divisors (see below), whose sum is σ = 66664239600. Its totient is φ = 7146061824.

The previous prime is 23224740769. The next prime is 23224740907. The reversal of 23224740864 is 46804742232.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 250839 + ... + 330710.

Almost surely, 223224740864 is an apocalyptic number.

23224740864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23224740864 is an abundant number, since it is smaller than the sum of its proper divisors (43439498736).

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

23224740864 is a wasteful number, since it uses less digits than its factorization.

23224740864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581585 (or 581567 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 42.

The spelling of 23224740864 in words is "twenty-three billion, two hundred twenty-four million, seven hundred forty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1024 1248 1536 1664 2496 3072 3328 4992 6656 9984 13312 19968 39936 581549 1163098 1744647 2326196 3489294 4652392 6978588 7560137 9304784 13957176 15120274 18609568 22680411 27914352 30240548 37219136 45360822 55828704 60481096 74438272 90721644 111657408 120962192 148876544 181443288 223314816 241924384 297753088 362886576 446629632 483848768 595506176 725773152 893259264 967697536 1451546304 1786518528 1935395072 2903092608 3870790144 5806185216 7741580288 11612370432 23224740864