221852160 has 120 divisors (see below), whose sum is σ = 768416220. Its totient is φ = 59154432.

The previous prime is 221852143. The next prime is 221852207. The reversal of 221852160 is 61258122.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 205979904 + 15872256 = 14352^2 + 3984^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18226 + ... + 27854.

Almost surely, 2^221852160 is an apocalyptic number.

221852160 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 221852160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384208110).

221852160 is an abundant number, since it is smaller than the sum of its proper divisors (546564060).

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

221852160 is an equidigital number, since it uses as much as digits as its factorization.

221852160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9658 (or 9639 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 221852160 is about 14894.7024139457. The cubic root of 221852160 is about 605.3704536266.

The spelling of 221852160 in words is "two hundred twenty-one million, eight hundred fifty-two thousand, one hundred sixty".