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231411400 = 235211293359
BaseRepresentation
bin11011100101100…
…00111011001000
3121010102220202121
431302300323020
5433220131100
634543541024
75506651543
oct1562607310
9533386677
10231411400
111096978a0
12655ba774
1338c3482c
1422a3b85a
15154b151a
hexdcb0ec8

231411400 has 96 divisors (see below), whose sum is σ = 590587200. Its totient is φ = 83628800.

The previous prime is 231411353. The next prime is 231411407. The reversal of 231411400 is 4114132.

231411400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (231411407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 644421 + ... + 644779.

It is an arithmetic number, because the mean of its divisors is an integer number (6151950).

Almost surely, 2231411400 is an apocalyptic number.

231411400 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 231411400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295293600).

231411400 is an abundant number, since it is smaller than the sum of its proper divisors (359175800).

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

231411400 is a wasteful number, since it uses less digits than its factorization.

231411400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 231411400 is about 15212.2121994140. The cubic root of 231411400 is about 613.9432797467.

Adding to 231411400 its reverse (4114132), we get a palindrome (235525532).

The spelling of 231411400 in words is "two hundred thirty-one million, four hundred eleven thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 293 359 440 550 586 718 1100 1172 1436 1465 1795 2200 2344 2872 2930 3223 3590 3949 5860 6446 7180 7325 7898 8975 11720 12892 14360 14650 15796 16115 17950 19745 25784 29300 31592 32230 35900 39490 58600 64460 71800 78980 80575 98725 105187 128920 157960 161150 197450 210374 322300 394900 420748 525935 644600 789800 841496 1051870 1157057 2103740 2314114 2629675 4207480 4628228 5259350 5785285 9256456 10518700 11570570 21037400 23141140 28926425 46282280 57852850 115705700 231411400