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233113125 = 354717761
BaseRepresentation
bin11011110010100…
…00011000100101
3121020122101002110
431321100120211
5434134110000
635044231233
75530300050
oct1571203045
9536571073
10233113125
1110a64a383
126609b519
13393ac27b
1422d61a97
15156ea850
hexde50625

233113125 has 40 divisors (see below), whose sum is σ = 443907904. Its totient is φ = 106560000.

The previous prime is 233113123. The next prime is 233113141. The reversal of 233113125 is 521311332.

It is not a de Polignac number, because 233113125 - 21 = 233113123 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233113123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4245 + ... + 22005.

Almost surely, 2233113125 is an apocalyptic number.

233113125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

233113125 is a deficient number, since it is larger than the sum of its proper divisors (210794779).

233113125 is an equidigital number, since it uses as much as digits as its factorization.

233113125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17791 (or 17776 counting only the distinct ones).

The product of its digits is 540, while the sum is 21.

The square root of 233113125 is about 15268.0426053899. The cubic root of 233113125 is about 615.4445196592. Note that the first 3 decimals are identical.

Adding to 233113125 its reverse (521311332), we get a palindrome (754424457).

The spelling of 233113125 in words is "two hundred thirty-three million, one hundred thirteen thousand, one hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 75 105 125 175 375 525 625 875 1875 2625 4375 13125 17761 53283 88805 124327 266415 372981 444025 621635 1332075 1864905 2220125 3108175 6660375 9324525 11100625 15540875 33301875 46622625 77704375 233113125