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23915034000 = 243353111319163
BaseRepresentation
bin10110010001011100…
…100111010110010000
32021201200100121021000
4112101130213112100
5342434222042000
614553022102000
71504431302124
oct262134472620
967650317230
1023915034000
11a162460010
12477511a900
13234181a7c0
14122c23d584
1594e80b000
hex591727590

23915034000 has 1280 divisors, whose sum is σ = 106593177600. Its totient is φ = 5038848000.

The previous prime is 23915033977. The next prime is 23915034049. The reversal of 23915034000 is 43051932.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 146717919 + ... + 146718081.

It is an arithmetic number, because the mean of its divisors is an integer number (83275920).

Almost surely, 223915034000 is an apocalyptic number.

23915034000 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 23915034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53296588800).

23915034000 is an abundant number, since it is smaller than the sum of its proper divisors (82678143600).

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

23915034000 is a wasteful number, since it uses less digits than its factorization.

23915034000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 23915034000 its reverse (43051932), we get a palindrome (23958085932).

The spelling of 23915034000 in words is "twenty-three billion, nine hundred fifteen million, thirty-four thousand".