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233068912 = 241731131211
BaseRepresentation
bin11011110010001…
…01100101110000
3121020120010102221
431321011211300
5434131201122
635043250424
75530024126
oct1571054560
9536503387
10233068912
1110a61a13a
1266079a14
13393950cb
1422d4d916
15156dc6c7
hexde45970

233068912 has 80 divisors (see below), whose sum is σ = 499682304. Its totient is φ = 104832000.

The previous prime is 233068909. The next prime is 233068933. The reversal of 233068912 is 219860332.

It is a happy number.

233068912 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2330689122 = 108642235481727488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1104487 + ... + 1104697.

Almost surely, 2233068912 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 233068912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249841152).

233068912 is an abundant number, since it is smaller than the sum of its proper divisors (266613392).

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

233068912 is a wasteful number, since it uses less digits than its factorization.

233068912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 233068912 is about 15266.5946432071. The cubic root of 233068912 is about 615.4056081236.

The spelling of 233068912 in words is "two hundred thirty-three million, sixty-eight thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 17 31 34 62 68 124 131 136 211 248 262 272 422 496 524 527 844 1048 1054 1688 2096 2108 2227 3376 3587 4061 4216 4454 6541 7174 8122 8432 8908 13082 14348 16244 17816 26164 27641 28696 32488 35632 52328 55282 57392 64976 69037 104656 110564 111197 138074 221128 222394 276148 442256 444788 469897 552296 856871 889576 939794 1104592 1713742 1779152 1879588 3427484 3759176 6854968 7518352 13709936 14566807 29133614 58267228 116534456 233068912