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112234166208 = 2632418775419
BaseRepresentation
bin110100010000110101…
…1010111011111000000
3101201200210101101020200
41220201223113133000
53314323421304313
6123320515405200
711052160446363
oct1504153273700
9351623341220
10112234166208
114366429626a
1219902bb3800
13a778331948
145609bd60da
152dbd312b73
hex1a21ad77c0

112234166208 has 168 divisors, whose sum is σ = 329981935920. Its totient is φ = 36450570240.

The previous prime is 112234166207. The next prime is 112234166237. The reversal of 112234166208 is 802661432211.

It is a happy number.

112234166208 is a `hidden beast` number, since 1 + 1 + 2 + 23 + 4 + 1 + 6 + 620 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112234166207) 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, 20708523 + ... + 20713941.

It is an arithmetic number, because the mean of its divisors is an integer number (1964178190).

Almost surely, 2112234166208 is an apocalyptic number.

112234166208 is a gapful number since it is divisible by the number (18) 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 112234166208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164990967960).

112234166208 is an abundant number, since it is smaller than the sum of its proper divisors (217747769712).

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

112234166208 is a wasteful number, since it uses less digits than its factorization.

112234166208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6355 (or 6342 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 112234166208 its reverse (802661432211), we get a palindrome (914895598419).

The spelling of 112234166208 in words is "one hundred twelve billion, two hundred thirty-four million, one hundred sixty-six thousand, two hundred eight".