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230525344 = 2576116871
BaseRepresentation
bin11011011110110…
…00100110100000
3121001202220022201
431233120212200
5433003302334
634512542544
75466301360
oct1557304640
9531686281
10230525344
11109142115
1265251a54
13389b443a
142288a9a0
1515388c14
hexdbd89a0

230525344 has 48 divisors (see below), whose sum is σ = 527216256. Its totient is φ = 97171200.

The previous prime is 230525341. The next prime is 230525363. The reversal of 230525344 is 443525032.

230525344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (230525341) 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, 5229 + ... + 22099.

It is an arithmetic number, because the mean of its divisors is an integer number (10983672).

Almost surely, 2230525344 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 230525344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263608128).

230525344 is an abundant number, since it is smaller than the sum of its proper divisors (296690912).

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

230525344 is a wasteful number, since it uses less digits than its factorization.

230525344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16949 (or 16941 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 28.

The square root of 230525344 is about 15183.0610879361. The cubic root of 230525344 is about 613.1586973921.

The spelling of 230525344 in words is "two hundred thirty million, five hundred twenty-five thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 112 122 224 244 427 488 854 976 1708 1952 3416 6832 13664 16871 33742 67484 118097 134968 236194 269936 472388 539872 944776 1029131 1889552 2058262 3779104 4116524 7203917 8233048 14407834 16466096 28815668 32932192 57631336 115262672 230525344