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233275084 = 227219371693
BaseRepresentation
bin11011110011101…
…11111011001100
3121020221121020221
431321313323030
5434204300314
635051521124
75531543200
oct1571677314
9536847227
10233275084
1110a750029
12661591a4
1339437bc3
1422da4b00
151572d824
hexde77ecc

233275084 has 72 divisors (see below), whose sum is σ = 513688560. Its totient is φ = 92098944.

The previous prime is 233275067. The next prime is 233275099. The reversal of 233275084 is 480572332.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136942 + ... + 138634.

Almost surely, 2233275084 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 233275084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256844280).

233275084 is an abundant number, since it is smaller than the sum of its proper divisors (280413476).

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

233275084 is a wasteful number, since it uses less digits than its factorization.

233275084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1767 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 233275084 is about 15273.3455405160. The cubic root of 233275084 is about 615.5870165748.

The spelling of 233275084 in words is "two hundred thirty-three million, two hundred seventy-five thousand, eighty-four".

Divisors: 1 2 4 7 14 19 28 37 38 49 74 76 98 133 148 196 259 266 518 532 703 931 1036 1406 1693 1813 1862 2812 3386 3626 3724 4921 6772 7252 9842 11851 19684 23702 32167 34447 47404 62641 64334 68894 82957 125282 128668 137788 165914 225169 250564 331828 438487 450338 876974 900676 1190179 1576183 1753948 2380358 3069409 3152366 4760716 6138818 6304732 8331253 12277636 16662506 33325012 58318771 116637542 233275084