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233428910 = 251113239683
BaseRepresentation
bin11011110100111…
…01011110101110
3121021020102021012
431322131132232
5434224211120
635055105222
75533053521
oct1572353656
9537212235
10233428910
1110a845660
1266212212
133948cc20
1423004bb8
151575e1c5
hexde9d7ae

233428910 has 64 divisors (see below), whose sum is σ = 496419840. Its totient is φ = 77911680.

The previous prime is 233428903. The next prime is 233428919. The reversal of 233428910 is 19824332.

It is a happy number.

233428910 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233428919) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 341429 + ... + 342111.

It is an arithmetic number, because the mean of its divisors is an integer number (7756560).

Almost surely, 2233428910 is an apocalyptic number.

233428910 is an abundant number, since it is smaller than the sum of its proper divisors (262990930).

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

233428910 is a wasteful number, since it uses less digits than its factorization.

233428910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953.

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 233428910 is about 15278.3804770008. The cubic root of 233428910 is about 615.7222967488.

The spelling of 233428910 in words is "two hundred thirty-three million, four hundred twenty-eight thousand, nine hundred ten".

Divisors: 1 2 5 10 11 13 22 26 55 65 110 130 143 239 286 478 683 715 1195 1366 1430 2390 2629 3107 3415 5258 6214 6830 7513 8879 13145 15026 15535 17758 26290 31070 34177 37565 44395 68354 75130 88790 97669 163237 170885 195338 326474 341770 488345 816185 976690 1632370 1795607 2122081 3591214 4244162 8978035 10610405 17956070 21220810 23342891 46685782 116714455 233428910