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314212192 = 2574134213
BaseRepresentation
bin10010101110100…
…111111101100000
3210220020122002121
4102232213331200
51120414242232
651102354024
710533521350
oct2256477540
9726218077
10314212192
111514012a8
128928b914
1350135998
142da32b60
151c8b9d97
hex12ba7f60

314212192 has 48 divisors (see below), whose sum is σ = 724241952. Its totient is φ = 131374080.

The previous prime is 314212169. The next prime is 314212193. The reversal of 314212192 is 291212413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314212193) 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, 7923 + ... + 26290.

It is an arithmetic number, because the mean of its divisors is an integer number (15088374).

Almost surely, 2314212192 is an apocalyptic number.

314212192 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

314212192 is an abundant number, since it is smaller than the sum of its proper divisors (410029760).

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

314212192 is a wasteful number, since it uses less digits than its factorization.

314212192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34271 (or 34263 counting only the distinct ones).

The product of its digits is 864, while the sum is 25.

The square root of 314212192 is about 17726.0314791552. The cubic root of 314212192 is about 679.8415086218.

The spelling of 314212192 in words is "three hundred fourteen million, two hundred twelve thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 82 112 164 224 287 328 574 656 1148 1312 2296 4592 9184 34213 68426 136852 239491 273704 478982 547408 957964 1094816 1402733 1915928 2805466 3831856 5610932 7663712 9819131 11221864 19638262 22443728 39276524 44887456 78553048 157106096 314212192