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233172117 = 3233737681
BaseRepresentation
bin11011110010111…
…10110010010101
3121020202101000100
431321132302111
5434143001432
635045404313
75530634043
oct1571366225
9536671010
10233172117
1110a68a732
1266109699
1339400089
1422d79393
151570d07c
hexde5ec95

233172117 has 12 divisors (see below), whose sum is σ = 336947884. Its totient is φ = 155381760.

The previous prime is 233172109. The next prime is 233172133. The reversal of 233172117 is 711271332.

It can be written as a sum of positive squares in 2 ways, for example, as 207100881 + 26071236 = 14391^2 + 5106^2 .

It is not a de Polignac number, because 233172117 - 23 = 233172109 is a prime.

It is a super-2 number, since 2×2331721172 = 108738472292523378, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233172157) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 26517 + ... + 34197.

Almost surely, 2233172117 is an apocalyptic number.

It is an amenable number.

233172117 is a deficient number, since it is larger than the sum of its proper divisors (103775767).

233172117 is a wasteful number, since it uses less digits than its factorization.

233172117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11060 (or 11057 counting only the distinct ones).

The product of its digits is 1764, while the sum is 27.

The square root of 233172117 is about 15269.9743614716. The cubic root of 233172117 is about 615.4964304228.

It can be divided in two parts, 233172 and 117, that added together give a square (233289 = 4832).

The spelling of 233172117 in words is "two hundred thirty-three million, one hundred seventy-two thousand, one hundred seventeen".

Divisors: 1 3 9 3373 7681 10119 23043 30357 69129 25908013 77724039 233172117