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23245655840 = 255111753107137
BaseRepresentation
bin10101101001100011…
…001000111100100000
32020000000210200001022
4111221203020330200
5340101341441330
614402351025012
71452022546241
oct255143107440
966000720038
1023245655840
119949626320
124608b0b168
132265c40454
1411a7396cc8
15910b86ae5
hex5698c8f20

23245655840 has 384 divisors, whose sum is σ = 65711616768. Its totient is φ = 7676231680.

The previous prime is 23245655833. The next prime is 23245655843. The reversal of 23245655840 is 4855654232.

It is a super-2 number, since 2×232456558402 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 23245655791 and 23245655800.

It is not an unprimeable number, because it can be changed into a prime (23245655843) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 169676252 + ... + 169676388.

It is an arithmetic number, because the mean of its divisors is an integer number (171124002).

Almost surely, 223245655840 is an apocalyptic number.

23245655840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23245655840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32855808384).

23245655840 is an abundant number, since it is smaller than the sum of its proper divisors (42465960928).

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

23245655840 is a wasteful number, since it uses less digits than its factorization.

23245655840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 44.

The spelling of 23245655840 in words is "twenty-three billion, two hundred forty-five million, six hundred fifty-five thousand, eight hundred forty".