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233638076 = 2272792191
BaseRepresentation
bin11011110110100…
…00100010111100
3121021122001012002
431323100202330
5434302404301
635103401432
75534614400
oct1573204274
9537561162
10233638076
1110a978821
12662b3278
13395341a9
142305b100
15157a116b
hexded08bc

233638076 has 54 divisors (see below), whose sum is σ = 484239168. Its totient is φ = 98345520.

The previous prime is 233638061. The next prime is 233638129. The reversal of 233638076 is 670836332.

233638076 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1223141 + ... + 1223331.

It is an arithmetic number, because the mean of its divisors is an integer number (8967392).

Almost surely, 2233638076 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 233638076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242119584).

233638076 is an abundant number, since it is smaller than the sum of its proper divisors (250601092).

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

233638076 is a wasteful number, since it uses less digits than its factorization.

233638076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 38.

The square root of 233638076 is about 15285.2241069603. The cubic root of 233638076 is about 615.9061496140.

The spelling of 233638076 in words is "two hundred thirty-three million, six hundred thirty-eight thousand, seventy-six".

Divisors: 1 2 4 7 14 28 49 79 98 158 191 196 316 382 553 764 1106 1337 2212 2674 3871 5348 6241 7742 9359 12482 15089 15484 18718 24964 30178 37436 43687 60356 87374 105623 174748 211246 305809 422492 611618 739361 1192031 1223236 1478722 2384062 2957444 4768124 8344217 16688434 33376868 58409519 116819038 233638076