221272025 has 24 divisors (see below), whose sum is σ = 303485784. Its totient is φ = 158976000.

The previous prime is 221272013. The next prime is 221272031. The reversal of 221272025 is 520272122.

It can be written as a sum of positive squares in 12 ways, for example, as 55995289 + 165276736 = 7483^2 + 12856^2 .

It is not a de Polignac number, because 221272025 - 2⁶ = 221271961 is a prime.

It is a super-2 number, since 2×221272025² = 97922618095201250, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2825 + ... + 21225.

It is an arithmetic number, because the mean of its divisors is an integer number (12645241).

Almost surely, 2^221272025 is an apocalyptic number.

221272025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

221272025 is a deficient number, since it is larger than the sum of its proper divisors (82213759).

221272025 is a wasteful number, since it uses less digits than its factorization.

221272025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18461 (or 18456 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 221272025 is about 14875.2151244948. The cubic root of 221272025 is about 604.8423194019.

The spelling of 221272025 in words is "two hundred twenty-one million, two hundred seventy-two thousand, twenty-five".