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233282064 = 2434860043
BaseRepresentation
bin11011110011110…
…01101000010000
3121020221221211110
431321321220100
5434210011224
635052013320
75531602431
oct1571715020
9536857743
10233282064
1110a7552a4
1266161240
133943b132
1422da7488
1515730929
hexde79a10

233282064 has 20 divisors (see below), whose sum is σ = 602645456. Its totient is φ = 77760672.

The previous prime is 233282029. The next prime is 233282069. The reversal of 233282064 is 460282332.

233282064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (233282069) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2429974 + ... + 2430069.

Almost surely, 2233282064 is an apocalyptic number.

233282064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

233282064 is an abundant number, since it is smaller than the sum of its proper divisors (369363392).

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

233282064 is a wasteful number, since it uses less digits than its factorization.

233282064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4860054 (or 4860048 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 233282064 is about 15273.5740414613. The cubic root of 233282064 is about 615.5931563283.

The spelling of 233282064 in words is "two hundred thirty-three million, two hundred eighty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 4860043 9720086 14580129 19440172 29160258 38880344 58320516 77760688 116641032 233282064