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112225222656 = 21631029
BaseRepresentation
bin110100010000100100…
…1010000000000000000
3101201200011120000000000
41220201021100000000
53314314124111111
6123320000000000
711052021440031
oct1504111200000
9351604500000
10112225222656
114365a2378a8
1219900000000
13a77651cbc1
145608948a88
152dbc647c56
hex1a21250000

112225222656 has 374 divisors, whose sum is σ = 348280550490. Its totient is φ = 36118462464.

The previous prime is 112225222621. The next prime is 112225222709. The reversal of 112225222656 is 656222522211.

112225222656 is a `hidden beast` number, since 1 + 122 + 2 + 522 + 2 + 6 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 96745881600 + 15479341056 = 311040^2 + 124416^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 112225222656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 21 ways as a sum of consecutive naturals, for example, 3869835250 + ... + 3869835278.

Almost surely, 2112225222656 is an apocalyptic number.

112225222656 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 112225222656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174140275245).

112225222656 is an abundant number, since it is smaller than the sum of its proper divisors (236055327834).

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

112225222656 is an frugal number, since it uses more digits than its factorization.

112225222656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 34 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

Adding to 112225222656 its reverse (656222522211), we get a palindrome (768447744867).

The spelling of 112225222656 in words is "one hundred twelve billion, two hundred twenty-five million, two hundred twenty-two thousand, six hundred fifty-six".