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112213992 = 233112914657
BaseRepresentation
bin1101011000000…
…11111111101000
321211011001122210
412230003333220
5212211321432
615045045120
72531542332
oct654037750
9254131583
10112213992
1158384040
12316b67a0
131a32c017
1410c90452
159cb88cc
hex6b03fe8

112213992 has 64 divisors (see below), whose sum is σ = 316612800. Its totient is φ = 32829440.

The previous prime is 112213967. The next prime is 112213993. The reversal of 112213992 is 299312211.

It is not an unprimeable number, because it can be changed into a prime (112213993) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 328 + ... + 14984.

It is an arithmetic number, because the mean of its divisors is an integer number (4947075).

Almost surely, 2112213992 is an apocalyptic number.

112213992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112213992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158306400).

112213992 is an abundant number, since it is smaller than the sum of its proper divisors (204398808).

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

112213992 is a wasteful number, since it uses less digits than its factorization.

112213992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14706 (or 14702 counting only the distinct ones).

The product of its digits is 1944, while the sum is 30.

The square root of 112213992 is about 10593.1105913230. The cubic root of 112213992 is about 482.3352522633.

The spelling of 112213992 in words is "one hundred twelve million, two hundred thirteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 116 132 174 232 264 319 348 638 696 957 1276 1914 2552 3828 7656 14657 29314 43971 58628 87942 117256 161227 175884 322454 351768 425053 483681 644908 850106 967362 1275159 1289816 1700212 1934724 2550318 3400424 3869448 4675583 5100636 9351166 10201272 14026749 18702332 28053498 37404664 56106996 112213992