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233924125 = 5311316561
BaseRepresentation
bin11011111000101…
…10011000011101
3121022011120120111
431330112120131
5434341033000
635113450021
75540215351
oct1574263035
9538146514
10233924125
11110053726
1266410911
1339604456
14230d3461
151580acba
hexdf1661d

233924125 has 16 divisors (see below), whose sum is σ = 294538608. Its totient is φ = 185472000.

The previous prime is 233924111. The next prime is 233924153. The reversal of 233924125 is 521429332.

It can be written as a sum of positive squares in 8 ways, for example, as 206267044 + 27657081 = 14362^2 + 5259^2 .

It is not a de Polignac number, because 233924125 - 27 = 233923997 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5845 + ... + 22405.

It is an arithmetic number, because the mean of its divisors is an integer number (18408663).

Almost surely, 2233924125 is an apocalyptic number.

233924125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

233924125 is a deficient number, since it is larger than the sum of its proper divisors (60614483).

233924125 is a wasteful number, since it uses less digits than its factorization.

233924125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16689 (or 16679 counting only the distinct ones).

The product of its digits is 12960, while the sum is 31.

The square root of 233924125 is about 15294.5782877463. The cubic root of 233924125 is about 616.1574035903.

The spelling of 233924125 in words is "two hundred thirty-three million, nine hundred twenty-four thousand, one hundred twenty-five".

Divisors: 1 5 25 113 125 565 2825 14125 16561 82805 414025 1871393 2070125 9356965 46784825 233924125