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230963888 = 24293116057
BaseRepresentation
bin11011100010000…
…11101010110000
3121002121011220002
431301003222300
5433111321023
634530205132
75503106051
oct1561035260
9532534802
10230963888
11109411651
12654237a8
1338b08c2c
1422962728
1515423b28
hexdc43ab0

230963888 has 40 divisors (see below), whose sum is σ = 477886080. Its totient is φ = 107896320.

The previous prime is 230963833. The next prime is 230963911. The reversal of 230963888 is 888369032.

It is a happy number.

230963888 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 6356 + ... + 22412.

It is an arithmetic number, because the mean of its divisors is an integer number (11947152).

Almost surely, 2230963888 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 230963888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238943040).

230963888 is an abundant number, since it is smaller than the sum of its proper divisors (246922192).

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

230963888 is a wasteful number, since it uses less digits than its factorization.

230963888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16125 (or 16119 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 47.

The square root of 230963888 is about 15197.4961095570. The cubic root of 230963888 is about 613.5472688892.

The spelling of 230963888 in words is "two hundred thirty million, nine hundred sixty-three thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 16 29 31 58 62 116 124 232 248 464 496 899 1798 3596 7192 14384 16057 32114 64228 128456 256912 465653 497767 931306 995534 1862612 1991068 3725224 3982136 7450448 7964272 14435243 28870486 57740972 115481944 230963888