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192668112 = 2433713329
BaseRepresentation
bin10110111101111…
…10000111010000
3111102112112222000
423132332013100
5343310334422
631041314000
74526436420
oct1336760720
9442475860
10192668112
119983544a
1254635900
1330bbb000
141b834480
1511dabcac
hexb7be1d0

192668112 has 320 divisors, whose sum is σ = 708288000. Its totient is φ = 49061376.

The previous prime is 192668101. The next prime is 192668117. The reversal of 192668112 is 211866291.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (10368) is a multiple of the sum of its prime divisors (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (192668117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6643714 + ... + 6643742.

It is an arithmetic number, because the mean of its divisors is an integer number (2213400).

Almost surely, 2192668112 is an apocalyptic number.

192668112 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 192668112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354144000).

192668112 is an abundant number, since it is smaller than the sum of its proper divisors (515619888).

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

192668112 is a wasteful number, since it uses less digits than its factorization.

192668112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 54 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 192668112 is about 13880.4939393380. The cubic root of 192668112 is about 577.5682091807.

The spelling of 192668112 in words is "one hundred ninety-two million, six hundred sixty-eight thousand, one hundred twelve".