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112222656 = 26327132141
BaseRepresentation
bin1101011000001…
…10000111000000
321211011111112200
412230012013000
5212212111111
615045153200
72531606520
oct654060700
9254144480
10112222656
115838a5a7
12316bb800
131a332c50
1410c93680
159cbb256
hex6b061c0

112222656 has 168 divisors, whose sum is σ = 396081504. Its totient is φ = 29583360.

The previous prime is 112222651. The next prime is 112222687. The reversal of 112222656 is 656222211.

112222656 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 2 + 2 + 656 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112222651) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51346 + ... + 53486.

It is an arithmetic number, because the mean of its divisors is an integer number (2357628).

Almost surely, 2112222656 is an apocalyptic number.

112222656 is a gapful number since it is divisible by the number (16) 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 112222656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198040752).

112222656 is an abundant number, since it is smaller than the sum of its proper divisors (283858848).

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

112222656 is a wasteful number, since it uses less digits than its factorization.

112222656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2179 (or 2166 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 112222656 is about 10593.5195284664. The cubic root of 112222656 is about 482.3476655848.

Adding to 112222656 its reverse (656222211), we get a palindrome (768444867).

The spelling of 112222656 in words is "one hundred twelve million, two hundred twenty-two thousand, six hundred fifty-six".