220113000 has 192 divisors, whose sum is σ = 765245520. Its totient is φ = 57024000.

The previous prime is 220112983. The next prime is 220113029. The reversal of 220113000 is 311022.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 63011844 + 157101156 = 7938^2 + 12534^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 332670 + ... + 333330.

Almost surely, 2^220113000 is an apocalyptic number.

220113000 is a gapful number since it is divisible by the number (20) 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 220113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382622760).

220113000 is an abundant number, since it is smaller than the sum of its proper divisors (545132520).

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

220113000 is a wasteful number, since it uses less digits than its factorization.

220113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 220113000 is about 14836.2057144002. The cubic root of 220113000 is about 603.7844135059.

Adding to 220113000 its reverse (311022), we get a palindrome (220424022).

The spelling of 220113000 in words is "two hundred twenty million, one hundred thirteen thousand".