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231113200 = 24522325121
BaseRepresentation
bin11011100011010…
…00000111110000
3121002212202201011
431301220013300
5433131110300
634533320304
75504300263
oct1561500760
9532782634
10231113200
1110950384a
1265496094
1338b5bb96
14229a0cda
1515452eba
hexdc681f0

231113200 has 60 divisors (see below), whose sum is σ = 579413808. Its totient is φ = 88422400.

The previous prime is 231113173. The next prime is 231113219. The reversal of 231113200 is 2311132.

It is a super-2 number, since 2×2311132002 = 106826622428480000, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 3361 + ... + 21760.

Almost surely, 2231113200 is an apocalyptic number.

231113200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231113200 is an abundant number, since it is smaller than the sum of its proper divisors (348300608).

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

231113200 is a wasteful number, since it uses less digits than its factorization.

231113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25162 (or 25151 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 231113200 is about 15202.4077040448. The cubic root of 231113200 is about 613.6794543960.

Adding to 231113200 its reverse (2311132), we get a palindrome (233424332).

Multiplying 231113200 by its reverse (2311132), we get a square (534133112142400 = 231113202).

231113200 divided by its reverse (2311132) gives a square (100 = 102).

It can be divided in two parts, 23 and 1113200, that multiplied together give a square (25603600 = 50602).

The spelling of 231113200 in words is "two hundred thirty-one million, one hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 184 200 230 368 400 460 575 920 1150 1840 2300 4600 9200 25121 50242 100484 125605 200968 251210 401936 502420 577783 628025 1004840 1155566 1256050 2009680 2311132 2512100 2888915 4622264 5024200 5777830 9244528 10048400 11555660 14444575 23111320 28889150 46222640 57778300 115556600 231113200