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112212144 = 24321170841
BaseRepresentation
bin1101011000000…
…11100010110000
321211010222010100
412230003202300
5212211242034
615045032400
72531534052
oct654034260
9254128110
10112212144
1158382710
12316b5700
131a32b225
1410c8d8d2
159cb8099
hex6b038b0

112212144 has 60 divisors (see below), whose sum is σ = 342591912. Its totient is φ = 34003200.

The previous prime is 112212137. The next prime is 112212197. The reversal of 112212144 is 441212211.

It is a super-2 number, since 2×1122121442 = 25183130522153472, which contains 22 as substring.

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33837 + ... + 37004.

Almost surely, 2112212144 is an apocalyptic number.

It is an amenable number.

112212144 is an abundant number, since it is smaller than the sum of its proper divisors (230379768).

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

112212144 is a wasteful number, since it uses less digits than its factorization.

112212144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70866 (or 70857 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 112212144 is about 10593.0233644602. The cubic root of 112212144 is about 482.3326044639.

Adding to 112212144 its reverse (441212211), we get a palindrome (553424355).

The spelling of 112212144 in words is "one hundred twelve million, two hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 70841 141682 212523 283364 425046 566728 637569 779251 850092 1133456 1275138 1558502 1700184 2337753 2550276 3117004 3400368 4675506 5100552 6234008 7013259 9351012 10201104 12468016 14026518 18702024 28053036 37404048 56106072 112212144