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23831530240 = 285731731103
BaseRepresentation
bin10110001100011110…
…000100101100000000
32021111212020011122011
4112030132010230000
5342301332431430
614540440222304
71502365444000
oct261436045400
967455204564
1023831530240
11a11a306441
12475116a994
13232a4316ab
141221104000
1594731422a
hex58c784b00

23831530240 has 576 divisors, whose sum is σ = 73466265600. Its totient is φ = 7369850880.

The previous prime is 23831530237. The next prime is 23831530249. The reversal of 23831530240 is 4203513832.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (23831530249) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 231374029 + ... + 231374131.

It is an arithmetic number, because the mean of its divisors is an integer number (127545600).

Almost surely, 223831530240 is an apocalyptic number.

23831530240 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 23831530240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36733132800).

23831530240 is an abundant number, since it is smaller than the sum of its proper divisors (49634735360).

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

23831530240 is a wasteful number, since it uses less digits than its factorization.

23831530240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The spelling of 23831530240 in words is "twenty-three billion, eight hundred thirty-one million, five hundred thirty thousand, two hundred forty".