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23238835200 = 210345271601
BaseRepresentation
bin10101101001001001…
…000111110000000000
32012222112222010220000
4111221021013300000
5340043120211300
614401544520000
71451610561060
oct255111076000
965875863800
1023238835200
119945797929
124606780000
1322646c2a79
1411a64dd3a0
1591028ac00
hex569247c00

23238835200 has 660 divisors, whose sum is σ = 98405054352. Its totient is φ = 5308416000.

The previous prime is 23238835187. The next prime is 23238835201. The reversal of 23238835200 is 253883232.

It is a happy number.

23238835200 is a `hidden beast` number, since 23 + 2 + 38 + 83 + 520 + 0 = 666.

It is a super-2 number, since 2×232388352002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23238835201) 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 59 ways as a sum of consecutive naturals, for example, 14514400 + ... + 14516000.

Almost surely, 223238835200 is an apocalyptic number.

23238835200 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 23238835200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49202527176).

23238835200 is an abundant number, since it is smaller than the sum of its proper divisors (75166219152).

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

23238835200 is a wasteful number, since it uses less digits than its factorization.

23238835200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 23238835200 in words is "twenty-three billion, two hundred thirty-eight million, eight hundred thirty-five thousand, two hundred".