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233268966 = 232719139701
BaseRepresentation
bin11011110011101…
…10011011100110
3121020221021212100
431321312123212
5434204101331
635051432530
75531516310
oct1571663346
9536837770
10233268966
1110a746477
1266155746
1339435198
1422da27b0
151572bae6
hexde766e6

233268966 has 96 divisors (see below), whose sum is σ = 613267200. Its totient is φ = 62596800.

The previous prime is 233268929. The next prime is 233268977. The reversal of 233268966 is 669862332.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 332416 + ... + 333116.

It is an arithmetic number, because the mean of its divisors is an integer number (6388200).

Almost surely, 2233268966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233268966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306633600).

233268966 is an abundant number, since it is smaller than the sum of its proper divisors (379998234).

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

233268966 is a wasteful number, since it uses less digits than its factorization.

233268966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 871 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 233268966 is about 15273.1452556440. The cubic root of 233268966 is about 615.5816349538.

The spelling of 233268966 in words is "two hundred thirty-three million, two hundred sixty-eight thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 139 171 266 278 342 399 417 701 798 834 973 1197 1251 1402 1946 2103 2394 2502 2641 2919 4206 4907 5282 5838 6309 7923 8757 9814 12618 13319 14721 15846 17514 18487 23769 26638 29442 36974 39957 44163 47538 55461 79914 88326 93233 97439 110922 119871 166383 186466 194878 239742 279699 292317 332766 559398 584634 682073 839097 876951 1364146 1678194 1753902 1851341 2046219 3702682 4092438 5554023 6138657 11108046 12277314 12959387 16662069 25918774 33324138 38878161 77756322 116634483 233268966