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23045024000 = 285319291307
BaseRepresentation
bin10101011101100101…
…110010100100000000
32012111001021111220102
4111131211302210000
5334144011232000
614330422501532
71444035320615
oct253545624400
965431244812
1023045024000
119856351689
1245718948a8
1322334c469b
14118888c50c
158ed2553d5
hex55d972900

23045024000 has 288 divisors, whose sum is σ = 62561116800. Its totient is φ = 8425267200.

The previous prime is 23045023957. The next prime is 23045024011. The reversal of 23045024000 is 42054032.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17631347 + ... + 17632653.

It is an arithmetic number, because the mean of its divisors is an integer number (217226100).

Almost surely, 223045024000 is an apocalyptic number.

23045024000 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 23045024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31280558400).

23045024000 is an abundant number, since it is smaller than the sum of its proper divisors (39516092800).

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

23045024000 is a wasteful number, since it uses less digits than its factorization.

23045024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

Adding to 23045024000 its reverse (42054032), we get a palindrome (23087078032).

The spelling of 23045024000 in words is "twenty-three billion, forty-five million, twenty-four thousand".