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231052400 = 24523591609
BaseRepresentation
bin11011100010110…
…01010001110000
3121002202200022022
431301121101300
5433122134100
634532131012
75503625105
oct1561312160
9532680268
10231052400
111094720a7
1265466a68
1338b3a2c7
1422986aac
151543ee85
hexdc59470

231052400 has 60 divisors (see below), whose sum is σ = 556995600. Its totient is φ = 92106240.

The previous prime is 231052397. The next prime is 231052403. The reversal of 231052400 is 4250132.

It is an interprime number because it is at equal distance from previous prime (231052397) and next prime (231052403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231052403) 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 11 ways as a sum of consecutive naturals, for example, 142796 + ... + 144404.

It is an arithmetic number, because the mean of its divisors is an integer number (9283260).

Almost surely, 2231052400 is an apocalyptic number.

231052400 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 231052400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278497800).

231052400 is an abundant number, since it is smaller than the sum of its proper divisors (325943200).

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

231052400 is a wasteful number, since it uses less digits than its factorization.

231052400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1986 (or 1975 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 231052400 is about 15200.4078892640. The cubic root of 231052400 is about 613.6256351951.

The spelling of 231052400 in words is "two hundred thirty-one million, fifty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 359 400 718 1436 1609 1795 2872 3218 3590 5744 6436 7180 8045 8975 12872 14360 16090 17950 25744 28720 32180 35900 40225 64360 71800 80450 128720 143600 160900 321800 577631 643600 1155262 2310524 2888155 4621048 5776310 9242096 11552620 14440775 23105240 28881550 46210480 57763100 115526200 231052400