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112207464 = 23331921439
BaseRepresentation
bin1101011000000…
…10011001101000
321211010201201000
412230002121220
5212211114324
615044555000
72531514315
oct654023150
9254121630
10112207464
115837a146
12316b2a60
131a329065
1410c8bd0c
159cb69c9
hex6b02668

112207464 has 96 divisors (see below), whose sum is σ = 329184000. Its totient is φ = 35409312.

The previous prime is 112207453. The next prime is 112207489. The reversal of 112207464 is 464702211.

It is a super-2 number, since 2×1122074642 = 25181029954622592, which contains 22 as substring.

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

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 23 ways as a sum of consecutive naturals, for example, 77257 + ... + 78695.

It is an arithmetic number, because the mean of its divisors is an integer number (3429000).

Almost surely, 2112207464 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 112207464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164592000).

112207464 is an abundant number, since it is smaller than the sum of its proper divisors (216976536).

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

112207464 is a wasteful number, since it uses less digits than its factorization.

112207464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 112207464 is about 10592.8024620494. The cubic root of 112207464 is about 482.3258988677.

Adding to 112207464 its reverse (464702211), we get a palindrome (576909675).

The spelling of 112207464 in words is "one hundred twelve million, two hundred seven thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 361 456 513 684 722 1026 1083 1368 1439 1444 2052 2166 2878 2888 3249 4104 4317 4332 5756 6498 8634 8664 9747 11512 12951 12996 17268 19494 25902 25992 27341 34536 38853 38988 51804 54682 77706 77976 82023 103608 109364 155412 164046 218728 246069 310824 328092 492138 519479 656184 738207 984276 1038958 1476414 1558437 1968552 2077916 2952828 3116874 4155832 4675311 5905656 6233748 9350622 12467496 14025933 18701244 28051866 37402488 56103732 112207464