221560144 has 40 divisors (see below), whose sum is σ = 474804680. Its totient is φ = 99491328.

The previous prime is 221560139. The next prime is 221560147. The reversal of 221560144 is 441065122.

It is a happy number.

221560144 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 78996544 + 142563600 = 8888^2 + 11940^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221560147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6699 + ... + 22090.

It is an arithmetic number, because the mean of its divisors is an integer number (11870117).

Almost surely, 2^221560144 is an apocalyptic number.

It is an amenable number.

221560144 is an abundant number, since it is smaller than the sum of its proper divisors (253244536).

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

221560144 is a wasteful number, since it uses less digits than its factorization.

221560144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28847 (or 28841 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 221560144 is about 14884.8965061904. The cubic root of 221560144 is about 605.1047279030.

The spelling of 221560144 in words is "two hundred twenty-one million, five hundred sixty thousand, one hundred forty-four".