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315361220 = 22517927533
BaseRepresentation
bin10010110011000…
…000011111000100
3210222102000021012
4102303000133010
51121213024340
651143141352
710546345316
oct2263003704
9728360235
10315361220
11152016609
1289744858
1350448995
142dc517b6
151ca45565
hex12cc07c4

315361220 has 24 divisors (see below), whose sum is σ = 701215704. Its totient is φ = 118724096.

The previous prime is 315361219. The next prime is 315361229. The reversal of 315361220 is 22163513.

It can be written as a sum of positive squares in 4 ways, for example, as 56280004 + 259081216 = 7502^2 + 16096^2 .

It is not an unprimeable number, because it can be changed into a prime (315361229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 463427 + ... + 464106.

It is an arithmetic number, because the mean of its divisors is an integer number (29217321).

Almost surely, 2315361220 is an apocalyptic number.

It is an amenable number.

315361220 is an abundant number, since it is smaller than the sum of its proper divisors (385854484).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

315361220 is a wasteful number, since it uses less digits than its factorization.

315361220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927559 (or 927557 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 315361220 is about 17758.4126542887. The cubic root of 315361220 is about 680.6691941651.

The spelling of 315361220 in words is "three hundred fifteen million, three hundred sixty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 927533 1855066 3710132 4637665 9275330 15768061 18550660 31536122 63072244 78840305 157680610 315361220