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112220992 = 26131931229
BaseRepresentation
bin1101011000001…
…01101101000000
321211011102021001
412230011231000
5212212032432
615045141344
72531601622
oct654055500
9254142231
10112220992
1158389324
12316ba854
131a332270
1410c92c12
159cba9e7
hex6b05b40

112220992 has 112 divisors (see below), whose sum is σ = 261721600. Its totient is φ = 47278080.

The previous prime is 112220921. The next prime is 112221017. The reversal of 112220992 is 299022211.

It is a self number, because there is not a number n which added to its sum of digits gives 112220992.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 489934 + ... + 490162.

It is an arithmetic number, because the mean of its divisors is an integer number (2336800).

Almost surely, 2112220992 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 112220992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130860800).

112220992 is an abundant number, since it is smaller than the sum of its proper divisors (149500608).

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

112220992 is a wasteful number, since it uses less digits than its factorization.

112220992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 112220992 is about 10593.4409895935. The cubic root of 112220992 is about 482.3452815431.

The spelling of 112220992 in words is "one hundred twelve million, two hundred twenty thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 13 16 19 26 31 32 38 52 62 64 76 104 124 152 208 229 247 248 304 403 416 458 494 496 589 608 806 832 916 988 992 1178 1216 1612 1832 1976 1984 2356 2977 3224 3664 3952 4351 4712 5954 6448 7099 7328 7657 7904 8702 9424 11908 12896 14198 14656 15314 15808 17404 18848 23816 25792 28396 30628 34808 37696 47632 56563 56792 61256 69616 92287 95264 113126 113584 122512 134881 139232 184574 190528 226252 227168 245024 269762 278464 369148 452504 454336 490048 539524 738296 905008 1079048 1476592 1753453 1810016 2158096 2953184 3506906 3620032 4316192 5906368 7013812 8632384 14027624 28055248 56110496 112220992