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23015148000 = 2535313434773
BaseRepresentation
bin10101011011110011…
…110100100111100000
32012101222001122201220
4111123303310213200
5334113334214000
614323434255040
71443223346565
oct253363644740
965358048656
1023015148000
1198404a6379
124563887480
13222a263c90
14118491286c
158ea8031a0
hex55bcf49e0

23015148000 has 768 divisors, whose sum is σ = 86015913984. Its totient is φ = 5341593600.

The previous prime is 23015147989. The next prime is 23015148011. The reversal of 23015148000 is 84151032.

It is an interprime number because it is at equal distance from previous prime (23015147989) and next prime (23015148011).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 315275964 + ... + 315276036.

It is an arithmetic number, because the mean of its divisors is an integer number (111999888).

Almost surely, 223015148000 is an apocalyptic number.

23015148000 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 23015148000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43007956992).

23015148000 is an abundant number, since it is smaller than the sum of its proper divisors (63000765984).

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

23015148000 is a wasteful number, since it uses less digits than its factorization.

23015148000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 23015148000 its reverse (84151032), we get a palindrome (23099299032).

The spelling of 23015148000 in words is "twenty-three billion, fifteen million, one hundred forty-eight thousand".