221525120 has 32 divisors (see below), whose sum is σ = 529585020. Its totient is φ = 88609792.

The previous prime is 221525119. The next prime is 221525131. The reversal of 221525120 is 21525122.

It is a happy number.

221525120 is digitally balanced in base 3, 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 2 ways, for example, as 202094656 + 19430464 = 14216^2 + 4408^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 221525092 and 221525101.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 172427 + ... + 173706.

Almost surely, 2^221525120 is an apocalyptic number.

221525120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221525120 is an abundant number, since it is smaller than the sum of its proper divisors (308059900).

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

221525120 is an equidigital number, since it uses as much as digits as its factorization.

221525120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346152 (or 346140 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 221525120 is about 14883.7199651162. The cubic root of 221525120 is about 605.0728414448.

It can be divided in two parts, 22152 and 5120, that added together give a palindrome (27272).

The spelling of 221525120 in words is "two hundred twenty-one million, five hundred twenty-five thousand, one hundred twenty".