221152356 has 84 divisors (see below), whose sum is σ = 585301500. Its totient is φ = 73078848.

The previous prime is 221152333. The next prime is 221152361. The reversal of 221152356 is 653251122.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 99800100 + 121352256 = 9990^2 + 11016^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 434230 + ... + 434738.

It is an arithmetic number, because the mean of its divisors is an integer number (6967875).

Almost surely, 2^221152356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221152356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292650750).

221152356 is an abundant number, since it is smaller than the sum of its proper divisors (364149144).

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

221152356 is a wasteful number, since it uses less digits than its factorization.

221152356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 663 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 221152356 is about 14871.1921512702. The cubic root of 221152356 is about 604.7332621938.

The spelling of 221152356 in words is "two hundred twenty-one million, one hundred fifty-two thousand, three hundred fifty-six".