Search a number
-
+
231191452800 = 273352711193159
BaseRepresentation
bin1101011101010000010…
…1011001110010000000
3211002202010111122212000
43113110011121302000
512241440002442200
6254112523104000
722463065632120
oct3272405316200
9732663448760
10231191452800
118a058603370
1238981672000
1318a554a5219
14b292872c80
15603199b300
hex35d4159c80

231191452800 has 3072 divisors, whose sum is σ = 1165639680000. Its totient is φ = 43296768000.

The previous prime is 231191452787. The next prime is 231191452823. The reversal of 231191452800 is 8254191132.

231191452800 is a `hidden beast` number, since 2 + 3 + 119 + 14 + 528 + 0 + 0 = 666.

231191452800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3918499171 + ... + 3918499229.

It is an arithmetic number, because the mean of its divisors is an integer number (379440000).

Almost surely, 2231191452800 is an apocalyptic number.

231191452800 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 231191452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582819840000).

231191452800 is an abundant number, since it is smaller than the sum of its proper divisors (934448227200).

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

231191452800 is a wasteful number, since it uses less digits than its factorization.

231191452800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 231191452800 in words is "two hundred thirty-one billion, one hundred ninety-one million, four hundred fifty-two thousand, eight hundred".