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3112228272 = 243197346747
BaseRepresentation
bin1011100110000000…
…1101010110110000
322000220012120120210
42321200031112300
522333212301042
61232453504120
7140060334546
oct27140152660
98026176523
103112228272
11135785418a
1272a342040
133a7a19bba
1421749bd96
15133361a9c
hexb980d5b0

3112228272 has 80 divisors (see below), whose sum is σ = 8579192960. Its totient is φ = 969325056.

The previous prime is 3112228201. The next prime is 3112228289. The reversal of 3112228272 is 2728222113.

It is a super-2 number, since 2×31122282722 = 19371929634072211968, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43203 + ... + 89949.

It is an arithmetic number, because the mean of its divisors is an integer number (107239912).

Almost surely, 23112228272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3112228272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4289596480).

3112228272 is an abundant number, since it is smaller than the sum of its proper divisors (5466964688).

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

3112228272 is a wasteful number, since it uses less digits than its factorization.

3112228272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46850 (or 46844 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 3112228272 is about 55787.3486733327. The cubic root of 3112228272 is about 1460.0144290811.

The spelling of 3112228272 in words is "three billion, one hundred twelve million, two hundred twenty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 73 76 114 146 152 219 228 292 304 438 456 584 876 912 1168 1387 1752 2774 3504 4161 5548 8322 11096 16644 22192 33288 46747 66576 93494 140241 186988 280482 373976 560964 747952 888193 1121928 1776386 2243856 2664579 3412531 3552772 5329158 6825062 7105544 10237593 10658316 13650124 14211088 20475186 21316632 27300248 40950372 42633264 54600496 64838089 81900744 129676178 163801488 194514267 259352356 389028534 518704712 778057068 1037409424 1556114136 3112228272