221253630 has 128 divisors (see below), whose sum is σ = 595921536. Its totient is φ = 52224000.

The previous prime is 221253611. The next prime is 221253653. The reversal of 221253630 is 36352122.

It is a self number, because there is not a number n which added to its sum of digits gives 221253630.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1614922 + ... + 1615058.

It is an arithmetic number, because the mean of its divisors is an integer number (4655637).

Almost surely, 2^221253630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221253630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297960768).

221253630 is an abundant number, since it is smaller than the sum of its proper divisors (374667906).

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

221253630 is a wasteful number, since it uses less digits than its factorization.

221253630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302.

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 221253630 is about 14874.5968012582. The cubic root of 221253630 is about 604.8255581585.

The spelling of 221253630 in words is "two hundred twenty-one million, two hundred fifty-three thousand, six hundred thirty".