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112228740 = 2234513732
BaseRepresentation
bin1101011000001…
…11100110000100
321211011210220000
412230013212010
5212212304430
615045241300
72531633331
oct654074604
9254153800
10112228740
1158394128
1231703230
131a335950
1410c95988
159cbce60
hex6b07984

112228740 has 180 divisors, whose sum is σ = 384412644. Its totient is φ = 27247104.

The previous prime is 112228729. The next prime is 112228741. The reversal of 112228740 is 47822211.

It can be written as a sum of positive squares in 6 ways, for example, as 4359744 + 107868996 = 2088^2 + 10386^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112228741) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1537344 + ... + 1537416.

Almost surely, 2112228740 is an apocalyptic number.

112228740 is a gapful number since it is divisible by the number (10) 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 112228740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192206322).

112228740 is an abundant number, since it is smaller than the sum of its proper divisors (272183904).

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

112228740 is a wasteful number, since it uses less digits than its factorization.

112228740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 112228740 is about 10593.8066812643. The cubic root of 112228740 is about 482.3563820368.

The spelling of 112228740 in words is "one hundred twelve million, two hundred twenty-eight thousand, seven hundred forty".