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231400064 = 277416299
BaseRepresentation
bin11011100101011…
…10001010000000
3121010102100012202
431302232022000
5433214300224
634543412332
75506603520
oct1562561200
9533370182
10231400064
1110968a325
12655b40a8
1338c2c61c
1422a37680
15154aceae
hexdcae280

231400064 has 64 divisors (see below), whose sum is σ = 539784000. Its totient is φ = 96737280.

The previous prime is 231400063. The next prime is 231400093. The reversal of 231400064 is 460004132.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (231400061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33587 + ... + 39885.

It is an arithmetic number, because the mean of its divisors is an integer number (8434125).

Almost surely, 2231400064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231400064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269892000).

231400064 is an abundant number, since it is smaller than the sum of its proper divisors (308383936).

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

231400064 is an equidigital number, since it uses as much as digits as its factorization.

231400064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6361 (or 6349 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 231400064 is about 15211.8395994699. The cubic root of 231400064 is about 613.9332546360.

Adding to 231400064 its reverse (460004132), we get a palindrome (691404196).

The spelling of 231400064 in words is "two hundred thirty-one million, four hundred thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 82 112 128 164 224 287 328 448 574 656 896 1148 1312 2296 2624 4592 5248 6299 9184 12598 18368 25196 36736 44093 50392 88186 100784 176372 201568 258259 352744 403136 516518 705488 806272 1033036 1410976 1807813 2066072 2821952 3615626 4132144 5643904 7231252 8264288 14462504 16528576 28925008 33057152 57850016 115700032 231400064