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233472064 = 267274449
BaseRepresentation
bin11011110101010…
…00000001000000
3121021022121110111
431322220001000
5434232101224
635100041104
75533323400
oct1572500100
9537277414
10233472064
1110a875021
1266233194
13394a6767
1423016800
151576bd94
hexdea8040

233472064 has 42 divisors (see below), whose sum is σ = 538943550. Its totient is φ = 100058112.

The previous prime is 233472061. The next prime is 233472073. The reversal of 233472064 is 460274332.

It can be written as a sum of positive squares in only one way, i.e., 144961600 + 88510464 = 12040^2 + 9408^2 .

It is not an unprimeable number, because it can be changed into a prime (233472061) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34089 + ... + 40360.

Almost surely, 2233472064 is an apocalyptic number.

It is an amenable number.

233472064 is an abundant number, since it is smaller than the sum of its proper divisors (305471486).

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

233472064 is an equidigital number, since it uses as much as digits as its factorization.

233472064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74475 (or 74458 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 31.

The square root of 233472064 is about 15279.7926687505. The cubic root of 233472064 is about 615.7602372689.

It can be divided in two parts, 2334720 and 64, that added together give a square (2334784 = 15282).

The spelling of 233472064 in words is "two hundred thirty-three million, four hundred seventy-two thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 74449 148898 297796 521143 595592 1042286 1191184 2084572 2382368 3648001 4169144 4764736 7296002 8338288 14592004 16676576 29184008 33353152 58368016 116736032 233472064