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314315217 = 32239971523
BaseRepresentation
bin10010101111000…
…001000111010001
3210220102212102100
4102233001013101
51120431041332
651104511013
710534430616
oct2257010721
9726385370
10314315217
11151471747
128931b469
1350170848
142da5c50d
151c8da67c
hex12bc11d1

314315217 has 24 divisors (see below), whose sum is σ = 474537024. Its totient is φ = 200100384.

The previous prime is 314315207. The next prime is 314315219. The reversal of 314315217 is 712513413.

It is not a de Polignac number, because 314315217 - 26 = 314315153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (314315219) 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 23 ways as a sum of consecutive naturals, for example, 205618 + ... + 207140.

It is an arithmetic number, because the mean of its divisors is an integer number (19772376).

Almost surely, 2314315217 is an apocalyptic number.

It is an amenable number.

314315217 is a deficient number, since it is larger than the sum of its proper divisors (160221807).

314315217 is a wasteful number, since it uses less digits than its factorization.

314315217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2549 (or 2546 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 314315217 is about 17728.9372777953. The cubic root of 314315217 is about 679.9158034450.

The spelling of 314315217 in words is "three hundred fourteen million, three hundred fifteen thousand, two hundred seventeen".

Divisors: 1 3 9 23 69 207 997 1523 2991 4569 8973 13707 22931 35029 68793 105087 206379 315261 1518431 4555293 13665879 34923913 104771739 314315217