221563225 has 27 divisors (see below), whose sum is σ = 298802583. Its totient is φ = 162901440.

The previous prime is 221563213. The next prime is 221563241. The reversal of 221563225 is 522365122.

The square root of 221563225 is 14885.

It is a perfect power (a square), and thus also a powerful number.

221563225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 113486409 + 108076816 = 10653^2 + 10396^2 .

It is not a de Polignac number, because 221563225 - 2⁹ = 221562713 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 221563193 and 221563202.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 967411 + ... + 967639.

Almost surely, 2^221563225 is an apocalyptic number.

221563225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

221563225 is the 14885-th square number.

221563225 is the 7443-rd centered octagonal number.

It is an amenable number.

221563225 is a deficient number, since it is larger than the sum of its proper divisors (77239358).

221563225 is an equidigital number, since it uses as much as digits as its factorization.

221563225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 247 counting only the distinct ones).

The product of its digits is 7200, while the sum is 28.

The cubic root of 221563225 is about 605.1075327381.

The spelling of 221563225 in words is "two hundred twenty-one million, five hundred sixty-three thousand, two hundred twenty-five".