221142160 has 20 divisors (see below), whose sum is σ = 514155708. Its totient is φ = 88456832.

The previous prime is 221142073. The next prime is 221142169. The reversal of 221142160 is 61241122.

It can be written as a sum of positive squares in 2 ways, for example, as 157653136 + 63489024 = 12556^2 + 7968^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (221142169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1382059 + ... + 1382218.

Almost surely, 2^221142160 is an apocalyptic number.

221142160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221142160 is an abundant number, since it is smaller than the sum of its proper divisors (293013548).

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

221142160 is a wasteful number, since it uses less digits than its factorization.

221142160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2764290 (or 2764284 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 221142160 is about 14870.8493368738. The cubic root of 221142160 is about 604.7239685177.

Adding to 221142160 its reverse (61241122), we get a palindrome (282383282).

The spelling of 221142160 in words is "two hundred twenty-one million, one hundred forty-two thousand, one hundred sixty".