221452160 has 64 divisors (see below), whose sum is σ = 532072800. Its totient is φ = 88135680.

The previous prime is 221452151. The next prime is 221452171. The reversal of 221452160 is 61254122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145805 + ... + 147315.

Almost surely, 2^221452160 is an apocalyptic number.

221452160 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 221452160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266036400).

221452160 is an abundant number, since it is smaller than the sum of its proper divisors (310620640).

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

221452160 is a wasteful number, since it uses less digits than its factorization.

221452160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1759 (or 1747 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 221452160 is about 14881.2687631129. The cubic root of 221452160 is about 605.0064065984.

The spelling of 221452160 in words is "two hundred twenty-one million, four hundred fifty-two thousand, one hundred sixty".