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311392225 = 5253235013
BaseRepresentation
bin10010100011110…
…111011111100001
3210200221100211101
4102203313133201
51114204022400
650522114401
710500535024
oct2243673741
9720840741
10311392225
1114a855651
128834ba01
134c689271
142d4db1bb
151c50e56a
hex128f77e1

311392225 has 12 divisors (see below), whose sum is σ = 393413436. Its totient is φ = 244412480.

The previous prime is 311392199. The next prime is 311392261. The reversal of 311392225 is 522293113.

It can be written as a sum of positive squares in 6 ways, for example, as 3179089 + 308213136 = 1783^2 + 17556^2 .

It is not a de Polignac number, because 311392225 - 27 = 311392097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 311392193 and 311392202.

It is an unprimeable number.

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, 116182 + ... + 118831.

It is an arithmetic number, because the mean of its divisors is an integer number (32784453).

Almost surely, 2311392225 is an apocalyptic number.

It is an amenable number.

311392225 is a deficient number, since it is larger than the sum of its proper divisors (82021211).

311392225 is a wasteful number, since it uses less digits than its factorization.

311392225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235076 (or 235071 counting only the distinct ones).

The product of its digits is 3240, while the sum is 28.

The square root of 311392225 is about 17646.3091041725. The cubic root of 311392225 is about 677.8015977226.

The spelling of 311392225 in words is "three hundred eleven million, three hundred ninety-two thousand, two hundred twenty-five".

Divisors: 1 5 25 53 265 1325 235013 1175065 5875325 12455689 62278445 311392225