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314220132 = 223237235901
BaseRepresentation
bin10010101110101…
…001111001100100
3210220021000222200
4102232221321210
51120420021012
651102454500
710533553452
oct2256517144
9726230880
10314220132
11151407266
1289294430
1350139495
142da359d2
151c8bc3dc
hex12ba9e64

314220132 has 36 divisors (see below), whose sum is σ = 815749116. Its totient is φ = 101908800.

The previous prime is 314220121. The next prime is 314220149. The reversal of 314220132 is 231022413.

314220132 is a `hidden beast` number, since 314 + 220 + 132 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 299428416 + 14791716 = 17304^2 + 3846^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116619 + ... + 119282.

Almost surely, 2314220132 is an apocalyptic number.

It is an amenable number.

314220132 is an abundant number, since it is smaller than the sum of its proper divisors (501528984).

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

314220132 is a wasteful number, since it uses less digits than its factorization.

314220132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235948 (or 235943 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 314220132 is about 17726.2554421401. The cubic root of 314220132 is about 679.8472350027.

Adding to 314220132 its reverse (231022413), we get a palindrome (545242545).

The spelling of 314220132 in words is "three hundred fourteen million, two hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 235901 471802 707703 943604 1415406 2123109 2830812 4246218 8492436 8728337 17456674 26185011 34913348 52370022 78555033 104740044 157110066 314220132