221315364 has 36 divisors (see below), whose sum is σ = 563013724. Its totient is φ = 73300032.

The previous prime is 221315357. The next prime is 221315371. The reversal of 221315364 is 463513122.

It is an interprime number because it is at equal distance from previous prime (221315357) and next prime (221315371).

It can be written as a sum of positive squares in 2 ways, for example, as 129960000 + 91355364 = 11400^2 + 9558^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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, 13927 + ... + 25230.

Almost surely, 2^221315364 is an apocalyptic number.

It is an amenable number.

221315364 is an abundant number, since it is smaller than the sum of its proper divisors (341698360).

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

221315364 is a wasteful number, since it uses less digits than its factorization.

221315364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39324 (or 39319 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 221315364 is about 14876.6718052123. The cubic root of 221315364 is about 604.8818055654.

Adding to 221315364 its reverse (463513122), we get a palindrome (684828486).

It can be divided in two parts, 22131 and 5364, that added together give a triangular number (27495 = T₂₃₄).

The spelling of 221315364 in words is "two hundred twenty-one million, three hundred fifteen thousand, three hundred sixty-four".