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233850564 = 2235240587
BaseRepresentation
bin11011111000001…
…00011011000100
3121022000211200000
431330010123010
5434331204224
635112121300
75536461033
oct1574043304
9538024600
10233850564
11110003432
1266396230
13395a9b1c
14230b471a
15157e40c9
hexdf046c4

233850564 has 36 divisors (see below), whose sum is σ = 613018224. Its totient is φ = 77949864.

The previous prime is 233850553. The next prime is 233850581. The reversal of 233850564 is 465058332.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 119322 + ... + 121265.

It is an arithmetic number, because the mean of its divisors is an integer number (17028284).

Almost surely, 2233850564 is an apocalyptic number.

It is an amenable number.

233850564 is an abundant number, since it is smaller than the sum of its proper divisors (379167660).

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

233850564 is a wasteful number, since it uses less digits than its factorization.

233850564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240606 (or 240592 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 233850564 is about 15292.1732922433. The cubic root of 233850564 is about 616.0928101291.

The spelling of 233850564 in words is "two hundred thirty-three million, eight hundred fifty thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 240587 481174 721761 962348 1443522 2165283 2887044 4330566 6495849 8661132 12991698 19487547 25983396 38975094 58462641 77950188 116925282 233850564