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231850080 = 253357111741
BaseRepresentation
bin11011101000111…
…00000001100000
3121011021012112000
431310130001200
5433323200310
635001204000
75513456520
oct1564340140
9534235460
10231850080
11109967440
1265790600
13390593c7
1422b13680
151554b4c0
hexdd1c060

231850080 has 768 divisors, whose sum is σ = 1097349120. Its totient is φ = 44236800.

The previous prime is 231850049. The next prime is 231850093. The reversal of 231850080 is 80058132.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5654860 + ... + 5654900.

It is an arithmetic number, because the mean of its divisors is an integer number (1428840).

Almost surely, 2231850080 is an apocalyptic number.

231850080 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 231850080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548674560).

231850080 is an abundant number, since it is smaller than the sum of its proper divisors (865499040).

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

231850080 is a wasteful number, since it uses less digits than its factorization.

231850080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 231850080 is about 15226.6240513122. The cubic root of 231850080 is about 614.3309797956.

The spelling of 231850080 in words is "two hundred thirty-one million, eight hundred fifty thousand, eighty".