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233241125 = 5313261181
BaseRepresentation
bin11011110011011…
…11101000100101
3121020212212200012
431321233220211
5434202204000
635051100005
75531342165
oct1571575045
9536785605
10233241125
1110a727567
1266141605
1339425600
1422d965a5
1515723735
hexde6fa25

233241125 has 48 divisors (see below), whose sum is σ = 322135632. Its totient is φ = 168480000.

The previous prime is 233241089. The next prime is 233241133. The reversal of 233241125 is 521142332.

It can be written as a sum of positive squares in 24 ways, for example, as 100922116 + 132319009 = 10046^2 + 11503^2 .

It is not a de Polignac number, because 233241125 - 214 = 233224741 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 233241125.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1288535 + ... + 1288715.

It is an arithmetic number, because the mean of its divisors is an integer number (6711159).

Almost surely, 2233241125 is an apocalyptic number.

233241125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

233241125 is a deficient number, since it is larger than the sum of its proper divisors (88894507).

233241125 is a wasteful number, since it uses less digits than its factorization.

233241125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 260 counting only the distinct ones).

The product of its digits is 1440, while the sum is 23.

The square root of 233241125 is about 15272.2337920816. The cubic root of 233241125 is about 615.5571437831.

Adding to 233241125 its reverse (521142332), we get a palindrome (754383457).

The spelling of 233241125 in words is "two hundred thirty-three million, two hundred forty-one thousand, one hundred twenty-five".

Divisors: 1 5 13 25 61 65 125 169 181 305 325 793 845 905 1525 1625 2353 3965 4225 4525 7625 10309 11041 11765 19825 21125 22625 30589 51545 55205 58825 99125 143533 152945 257725 276025 294125 717665 764725 1288625 1380125 1865929 3588325 3823625 9329645 17941625 46648225 233241125