220533690 has 256 divisors, whose sum is σ = 661893120. Its totient is φ = 46448640.

The previous prime is 220533679. The next prime is 220533737. The reversal of 220533690 is 96335022.

220533690 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×220533690² = 97270216850032200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5960352 + ... + 5960388.

It is an arithmetic number, because the mean of its divisors is an integer number (2585520).

Almost surely, 2^220533690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220533690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330946560).

220533690 is an abundant number, since it is smaller than the sum of its proper divisors (441359430).

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

220533690 is a wasteful number, since it uses less digits than its factorization.

220533690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137.

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 220533690 is about 14850.3767628973. The cubic root of 220533690 is about 604.1688288045.

The spelling of 220533690 in words is "two hundred twenty million, five hundred thirty-three thousand, six hundred ninety".