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230672016 = 2433533963
BaseRepresentation
bin11011011111111…
…00011010010000
3121002001100112000
431233330122100
5433023001031
634520034000
75500452111
oct1557743220
9532040460
10230672016
11109232333
1265302900
1338a36123
14228c8208
15153b73e6
hexdbfc690

230672016 has 40 divisors (see below), whose sum is σ = 662115360. Its totient is φ = 76890528.

The previous prime is 230671993. The next prime is 230672033. The reversal of 230672016 is 610276032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 266550 + ... + 267413.

It is an arithmetic number, because the mean of its divisors is an integer number (16552884).

Almost surely, 2230672016 is an apocalyptic number.

It is an amenable number.

230672016 is an abundant number, since it is smaller than the sum of its proper divisors (431443344).

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

230672016 is a wasteful number, since it uses less digits than its factorization.

230672016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533980 (or 533968 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 230672016 is about 15187.8904394257. The cubic root of 230672016 is about 613.2887107843.

The spelling of 230672016 in words is "two hundred thirty million, six hundred seventy-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 533963 1067926 1601889 2135852 3203778 4271704 4805667 6407556 8543408 9611334 12815112 14417001 19222668 25630224 28834002 38445336 57668004 76890672 115336008 230672016