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516343225 = 52531812153
BaseRepresentation
bin11110110001101…
…100010110111001
31022222120221202011
4132301230112321
52024140440400
6123123005521
715536562556
oct3661542671
91288527664
10516343225
1124550a342
12124b098a1
1382c87c48
144c80ba2d
15304e58ba
hex1ec6c5b9

516343225 has 24 divisors (see below), whose sum is σ = 656254872. Its totient is φ = 402854400.

The previous prime is 516343213. The next prime is 516343229. The reversal of 516343225 is 522343615.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 372798864 + 143544361 = 19308^2 + 11981^2 .

It is a de Polignac number, because none of the positive numbers 2k-516343225 is a prime.

It is a super-2 number, since 2×5163432252 = 533220652006801250, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (516343229) 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 23 ways as a sum of consecutive naturals, for example, 238749 + ... + 240901.

It is an arithmetic number, because the mean of its divisors is an integer number (27343953).

Almost surely, 2516343225 is an apocalyptic number.

It is an amenable number.

516343225 is a deficient number, since it is larger than the sum of its proper divisors (139911647).

516343225 is a wasteful number, since it uses less digits than its factorization.

516343225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2397 (or 2392 counting only the distinct ones).

The product of its digits is 21600, while the sum is 31.

The square root of 516343225 is about 22723.1869463770. The cubic root of 516343225 is about 802.2557299789.

The spelling of 516343225 in words is "five hundred sixteen million, three hundred forty-three thousand, two hundred twenty-five".

Divisors: 1 5 25 53 181 265 905 1325 2153 4525 9593 10765 47965 53825 114109 239825 389693 570545 1948465 2852725 9742325 20653729 103268645 516343225