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232628064 = 2532423209
BaseRepresentation
bin11011101110110…
…01111101100000
3121012201201201020
431313121331200
5434023044224
635030005440
75523206634
oct1567317540
9535651636
10232628064
1110a3489a9
1265aa6880
133926c556
1422c76dc4
1515651c79
hexddd9f60

232628064 has 24 divisors (see below), whose sum is σ = 610648920. Its totient is φ = 77542656.

The previous prime is 232628057. The next prime is 232628107. The reversal of 232628064 is 460826232.

232628064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1211509 + ... + 1211700.

It is an arithmetic number, because the mean of its divisors is an integer number (25443705).

Almost surely, 2232628064 is an apocalyptic number.

232628064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

232628064 is an abundant number, since it is smaller than the sum of its proper divisors (378020856).

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

232628064 is a wasteful number, since it uses less digits than its factorization.

232628064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2423222 (or 2423214 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 232628064 is about 15252.1494878591. The cubic root of 232628064 is about 615.0173516157.

The spelling of 232628064 in words is "two hundred thirty-two million, six hundred twenty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2423209 4846418 7269627 9692836 14539254 19385672 29078508 38771344 58157016 77542688 116314032 232628064