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316166112 = 2533365933
BaseRepresentation
bin10010110110000…
…100111111100000
3211000220220101000
4102312010333200
51121414303422
651212312000
710556240043
oct2266047740
9730826330
10316166112
11152516309
1289a72600
135066b152
142ddc0c5a
151cb53cac
hex12d84fe0

316166112 has 48 divisors (see below), whose sum is σ = 922153680. Its totient is φ = 105388416.

The previous prime is 316166107. The next prime is 316166113. The reversal of 316166112 is 211661613.

316166112 is a `hidden beast` number, since 31 + 6 + 16 + 611 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3161661122 = 199922020754393088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (316166113) 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, 182103 + ... + 183830.

It is an arithmetic number, because the mean of its divisors is an integer number (19211535).

Almost surely, 2316166112 is an apocalyptic number.

316166112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

316166112 is an abundant number, since it is smaller than the sum of its proper divisors (605987568).

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

316166112 is a wasteful number, since it uses less digits than its factorization.

316166112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365952 (or 365938 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 316166112 is about 17781.0604858091. The cubic root of 316166112 is about 681.2477896626.

The spelling of 316166112 in words is "three hundred sixteen million, one hundred sixty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 365933 731866 1097799 1463732 2195598 2927464 3293397 4391196 5854928 6586794 8782392 9880191 11709856 13173588 17564784 19760382 26347176 35129568 39520764 52694352 79041528 105388704 158083056 316166112