220077225 has 81 divisors (see below), whose sum is σ = 421872087. Its totient is φ = 109660320.

The previous prime is 220077163. The next prime is 220077227. The reversal of 220077225 is 522770022.

It is a happy number.

The square root of 220077225 is 14835.

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

220077225 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 only one way, i.e., 79227801 + 140849424 = 8901^2 + 11868^2 .

It is not a de Polignac number, because 220077225 - 2⁷ = 220077097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (220077227) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5118054 + ... + 5118096.

Almost surely, 2^220077225 is an apocalyptic number.

220077225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

220077225 is the 14835-th square number.

220077225 is the 7418-th centered octagonal number.

It is an amenable number.

220077225 is a deficient number, since it is larger than the sum of its proper divisors (201794862).

220077225 is a wasteful number, since it uses less digits than its factorization.

220077225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The cubic root of 220077225 is about 603.7517006755.

The spelling of 220077225 in words is "two hundred twenty million, seventy-seven thousand, two hundred twenty-five".