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233111328 = 2532428243
BaseRepresentation
bin11011110010011…
…11111100100000
3121020122021121220
431321033330200
5434134030303
635044215040
75530261602
oct1571177440
9536567556
10233111328
1110a648a9a
126609a480
13393ab4c8
1422d61172
15156ea053
hexde4ff20

233111328 has 24 divisors (see below), whose sum is σ = 611917488. Its totient is φ = 77703744.

The previous prime is 233111303. The next prime is 233111423. The reversal of 233111328 is 823111332.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 233111298 and 233111307.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1214026 + ... + 1214217.

It is an arithmetic number, because the mean of its divisors is an integer number (25496562).

Almost surely, 2233111328 is an apocalyptic number.

It is an amenable number.

233111328 is an abundant number, since it is smaller than the sum of its proper divisors (378806160).

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

233111328 is a wasteful number, since it uses less digits than its factorization.

233111328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2428256 (or 2428248 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 233111328 is about 15267.9837568685. The cubic root of 233111328 is about 615.4429382287.

The spelling of 233111328 in words is "two hundred thirty-three million, one hundred eleven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2428243 4856486 7284729 9712972 14569458 19425944 29138916 38851888 58277832 77703776 116555664 233111328