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231908040 = 233257137079
BaseRepresentation
bin11011101001010…
…10001011001000
3121011101011000200
431310222023020
5433332024130
635002332200
75514120510
oct1564521310
9534334020
10231908040
111099a6a41
12657ba060
13390798c0
1422b2a840
151555d760
hexdd2a2c8

231908040 has 192 divisors, whose sum is σ = 927763200. Its totient is φ = 48923136.

The previous prime is 231908021. The next prime is 231908063. The reversal of 231908040 is 40809132.

It is a junction number, because it is equal to n+sod(n) for n = 231907995 and 231908013.

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 47 ways as a sum of consecutive naturals, for example, 29221 + ... + 36299.

It is an arithmetic number, because the mean of its divisors is an integer number (4832100).

Almost surely, 2231908040 is an apocalyptic number.

231908040 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 231908040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463881600).

231908040 is an abundant number, since it is smaller than the sum of its proper divisors (695855160).

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

231908040 is a wasteful number, since it uses less digits than its factorization.

231908040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7116 (or 7109 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 231908040 is about 15228.5271776361. The cubic root of 231908040 is about 614.3821675529.

The spelling of 231908040 in words is "two hundred thirty-one million, nine hundred eight thousand, forty".