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113322240 = 283451093
BaseRepresentation
bin1101100000100…
…10100100000000
321220020100220000
412300102210000
5213002302430
615124520000
72544136353
oct660224400
9256210800
10113322240
1158a70749
1231b50000
131a6295a5
141109c29a
159e36e60
hex6c12900

113322240 has 180 divisors, whose sum is σ = 405858684. Its totient is φ = 30191616.

The previous prime is 113322239. The next prime is 113322241. The reversal of 113322240 is 42223311.

It is an interprime number because it is at equal distance from previous prime (113322239) and next prime (113322241).

It can be written as a sum of positive squares in 2 ways, for example, as 84934656 + 28387584 = 9216^2 + 5328^2 .

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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113322241) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 103134 + ... + 104226.

Almost surely, 2113322240 is an apocalyptic number.

113322240 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 113322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202929342).

113322240 is an abundant number, since it is smaller than the sum of its proper divisors (292536444).

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

113322240 is an equidigital number, since it uses as much as digits as its factorization.

113322240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 113322240 is about 10645.2919170871. The cubic root of 113322240 is about 483.9179334025.

Adding to 113322240 its reverse (42223311), we get a palindrome (155545551).

The spelling of 113322240 in words is "one hundred thirteen million, three hundred twenty-two thousand, two hundred forty".