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233838828 = 223231209533
BaseRepresentation
bin11011111000000…
…01100011101100
3121022000020120100
431330001203230
5434330320303
635111551100
75536411566
oct1574014354
9538006510
10233838828
1110aaa5633
126638b490
13395a4692
14230b0336
15157e08a3
hexdf018ec

233838828 has 36 divisors (see below), whose sum is σ = 610163008. Its totient is φ = 75431520.

The previous prime is 233838827. The next prime is 233838863. The reversal of 233838828 is 828838332.

It is a happy number.

233838828 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (233838827) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103651 + ... + 105882.

Almost surely, 2233838828 is an apocalyptic number.

It is an amenable number.

233838828 is an abundant number, since it is smaller than the sum of its proper divisors (376324180).

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

233838828 is a wasteful number, since it uses less digits than its factorization.

233838828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209574 (or 209569 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 233838828 is about 15291.7895617223. The cubic root of 233838828 is about 616.0825035669.

The spelling of 233838828 in words is "two hundred thirty-three million, eight hundred thirty-eight thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 209533 419066 628599 838132 1257198 1885797 2514396 3771594 6495523 7543188 12991046 19486569 25982092 38973138 58459707 77946276 116919414 233838828