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456166213 is a prime number
BaseRepresentation
bin11011001100001…
…000101101000101
31011210100122101221
4123030020231011
51413234304323
6113133120341
714206230436
oct3314105505
91153318357
10456166213
11214548478
121089290b1
1373678549
144482548d
152a0aa55d
hex1b308b45

456166213 has 2 divisors, whose sum is σ = 456166214. Its totient is φ = 456166212.

The previous prime is 456166171. The next prime is 456166237. The reversal of 456166213 is 312661654.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 424277604 + 31888609 = 20598^2 + 5647^2 .

It is a cyclic number.

It is not a de Polignac number, because 456166213 - 29 = 456165701 is a prime.

It is a super-2 number, since 2×4561662132 = 416175227765522738, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (456166273) 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 as a sum of consecutive naturals, namely, 228083106 + 228083107.

It is an arithmetic number, because the mean of its divisors is an integer number (228083107).

Almost surely, 2456166213 is an apocalyptic number.

It is an amenable number.

456166213 is a deficient number, since it is larger than the sum of its proper divisors (1).

456166213 is an equidigital number, since it uses as much as digits as its factorization.

456166213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 25920, while the sum is 34.

The square root of 456166213 is about 21358.0479679207. The cubic root of 456166213 is about 769.7937340352.

The spelling of 456166213 in words is "four hundred fifty-six million, one hundred sixty-six thousand, two hundred thirteen".