221152620 has 96 divisors (see below), whose sum is σ = 669896640. Its totient is φ = 54190080.

The previous prime is 221152619. The next prime is 221152621. The reversal of 221152620 is 26251122.

It is a happy number.

221152620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (221152619) and next prime (221152621).

It is not an unprimeable number, because it can be changed into a prime (221152621) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218676 + ... + 219684.

It is an arithmetic number, because the mean of its divisors is an integer number (6978090).

Almost surely, 2^221152620 is an apocalyptic number.

221152620 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 221152620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334948320).

221152620 is an abundant number, since it is smaller than the sum of its proper divisors (448744020).

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

221152620 is a wasteful number, since it uses less digits than its factorization.

221152620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 221152620 is about 14871.2010274893. The cubic root of 221152620 is about 604.7335028266.

The spelling of 221152620 in words is "two hundred twenty-one million, one hundred fifty-two thousand, six hundred twenty".