113822280 has 384 divisors, whose sum is σ = 455817600. Its totient is φ = 25090560.

The previous prime is 113822251. The next prime is 113822281. The reversal of 113822280 is 82228311.

113822280 is a `hidden beast` number, since 1 + 1 + 382 + 2 + 280 = 666.

It is a super-2 number, since 2×113822280² = 25911022848796800, which contains 22 as substring.

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 (113822281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1698807 + ... + 1698873.

It is an arithmetic number, because the mean of its divisors is an integer number (1187025).

Almost surely, 2^113822280 is an apocalyptic number.

113822280 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 113822280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227908800).

113822280 is an abundant number, since it is smaller than the sum of its proper divisors (341995320).

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

113822280 is a wasteful number, since it uses less digits than its factorization.

113822280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 113822280 is about 10668.7525043934. The cubic root of 113822280 is about 484.6286596747.

The spelling of 113822280 in words is "one hundred thirteen million, eight hundred twenty-two thousand, two hundred eighty".