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230888664 = 23331517079
BaseRepresentation
bin11011100001100…
…01010011011000
3121002110100201000
431300301103120
5433101414124
634524425000
75502343536
oct1560612330
9532410630
10230888664
11109370086
12653a8160
1338ab0916
1422943156
151540b6c9
hexdc314d8

230888664 has 64 divisors (see below), whose sum is σ = 645696000. Its totient is φ = 76442400.

The previous prime is 230888597. The next prime is 230888677. The reversal of 230888664 is 466888032.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 29077 + ... + 36155.

It is an arithmetic number, because the mean of its divisors is an integer number (10089000).

Almost surely, 2230888664 is an apocalyptic number.

230888664 is a gapful number since it is divisible by the number (24) 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 230888664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322848000).

230888664 is an abundant number, since it is smaller than the sum of its proper divisors (414807336).

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

230888664 is a wasteful number, since it uses less digits than its factorization.

230888664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7245 (or 7235 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 230888664 is about 15195.0210266390. The cubic root of 230888664 is about 613.4806517054.

The spelling of 230888664 in words is "two hundred thirty million, eight hundred eighty-eight thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 151 216 302 453 604 906 1208 1359 1812 2718 3624 4077 5436 7079 8154 10872 14158 16308 21237 28316 32616 42474 56632 63711 84948 127422 169896 191133 254844 382266 509688 764532 1068929 1529064 2137858 3206787 4275716 6413574 8551432 9620361 12827148 19240722 25654296 28861083 38481444 57722166 76962888 115444332 230888664