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233252217 = 3411261787
BaseRepresentation
bin11011110011100…
…10010101111001
3121020220102220000
431321302111321
5434203032332
635051223213
75531416422
oct1571622571
9536812800
10233252217
1110a734930
1266147b09
133942a683
1422d9a649
1515726b7c
hexde72579

233252217 has 20 divisors (see below), whose sum is σ = 380116176. Its totient is φ = 141364440.

The previous prime is 233252213. The next prime is 233252237. The reversal of 233252217 is 712252332.

It is a happy number.

It is not a de Polignac number, because 233252217 - 22 = 233252213 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (233252213) 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 19 ways as a sum of consecutive naturals, for example, 130003 + ... + 131784.

Almost surely, 2233252217 is an apocalyptic number.

233252217 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

233252217 is a deficient number, since it is larger than the sum of its proper divisors (146863959).

233252217 is a wasteful number, since it uses less digits than its factorization.

233252217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261810 (or 261801 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 233252217 is about 15272.5969304503. The cubic root of 233252217 is about 615.5669014271.

The spelling of 233252217 in words is "two hundred thirty-three million, two hundred fifty-two thousand, two hundred seventeen".

Divisors: 1 3 9 11 27 33 81 99 297 891 261787 785361 2356083 2879657 7068249 8638971 21204747 25916913 77750739 233252217