221251160 has 64 divisors (see below), whose sum is σ = 539330400. Its totient is φ = 81202176.

The previous prime is 221251159. The next prime is 221251169. The reversal of 221251160 is 61152122.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221251169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91892 + ... + 94268.

Almost surely, 2^221251160 is an apocalyptic number.

221251160 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 221251160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269665200).

221251160 is an abundant number, since it is smaller than the sum of its proper divisors (318079240).

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

221251160 is a wasteful number, since it uses less digits than its factorization.

221251160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2580 (or 2576 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 221251160 is about 14874.5137735658. The cubic root of 221251160 is about 604.8233074615.

The spelling of 221251160 in words is "two hundred twenty-one million, two hundred fifty-one thousand, one hundred sixty".