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233474752 = 267539833
BaseRepresentation
bin11011110101010…
…00101011000000
3121021022202011001
431322220223000
5434232143002
635100101344
75533334260
oct1572505300
9537282131
10233474752
1110a877045
1266234854
13394a7a54
14230177a0
151576ca87
hexdea8ac0

233474752 has 56 divisors (see below), whose sum is σ = 539532576. Its totient is φ = 98162688.

The previous prime is 233474743. The next prime is 233474789. The reversal of 233474752 is 257474332.

233474752 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 (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18828 + ... + 28660.

Almost surely, 2233474752 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 233474752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269766288).

233474752 is an abundant number, since it is smaller than the sum of its proper divisors (306057824).

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

233474752 is an equidigital number, since it uses as much as digits as its factorization.

233474752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9905 (or 9895 counting only the distinct ones).

The product of its digits is 141120, while the sum is 37.

The square root of 233474752 is about 15279.8806278060. The cubic root of 233474752 is about 615.7626003741.

The spelling of 233474752 in words is "two hundred thirty-three million, four hundred seventy-four thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 212 224 371 424 448 742 848 1484 1696 2968 3392 5936 9833 11872 19666 23744 39332 68831 78664 137662 157328 275324 314656 521149 550648 629312 1042298 1101296 2084596 2202592 3648043 4169192 4405184 7296086 8338384 14592172 16676768 29184344 33353536 58368688 116737376 233474752