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23890885200 = 2435527133773
BaseRepresentation
bin10110010000000000…
…011111101001010000
32021122222220201100000
4112100000133221100
5342412031311300
614550400330000
71504016113350
oct262000375120
967588821300
1023890885200
11a14a866726
124769013900
132339813b80
141228d54b60
1594c63ac00
hex59001fa50

23890885200 has 1440 divisors, whose sum is σ = 110168670976. Its totient is φ = 4837294080.

The previous prime is 23890885189. The next prime is 23890885217. The reversal of 23890885200 is 258809832.

23890885200 is a `hidden beast` number, since 2 + 38 + 90 + 8 + 8 + 520 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 327272364 + ... + 327272436.

Almost surely, 223890885200 is an apocalyptic number.

23890885200 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 23890885200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55084335488).

23890885200 is an abundant number, since it is smaller than the sum of its proper divisors (86277785776).

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

23890885200 is a wasteful number, since it uses less digits than its factorization.

23890885200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 23890885200 in words is "twenty-three billion, eight hundred ninety million, eight hundred eighty-five thousand, two hundred".