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19922112 = 2636761
BaseRepresentation
bin100101111111…
…1110011000000
31101111011000000
41023333303000
520100001422
61551000000
7331222650
oct113776300
941434000
1019922112
1110277861
126809000
134186b42
142908360
151b37cac
hex12ffcc0

19922112 has 196 divisors, whose sum is σ = 68850256. Its totient is φ = 5598720.

The previous prime is 19922107. The next prime is 19922131. The reversal of 19922112 is 21122991.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 326562 + ... + 326622.

Almost surely, 219922112 is an apocalyptic number.

19922112 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 19922112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34425128).

19922112 is an abundant number, since it is smaller than the sum of its proper divisors (48928144).

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

19922112 is an frugal number, since it uses more digits than its factorization.

19922112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 73 counting only the distinct ones).

The product of its digits is 648, while the sum is 27.

The square root of 19922112 is about 4463.4193170707. The cubic root of 19922112 is about 271.0889356483.

The spelling of 19922112 in words is "nineteen million, nine hundred twenty-two thousand, one hundred twelve".