221295420 has 72 divisors (see below), whose sum is σ = 700461216. Its totient is φ = 56445312.

The previous prime is 221295401. The next prime is 221295449. The reversal of 221295420 is 24592122.

It is a happy number.

221295420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent 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, 22587 + ... + 30866.

It is an arithmetic number, because the mean of its divisors is an integer number (9728628).

Almost surely, 2^221295420 is an apocalyptic number.

221295420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221295420 is an abundant number, since it is smaller than the sum of its proper divisors (479165796).

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

221295420 is a wasteful number, since it uses less digits than its factorization.

221295420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53491 (or 53486 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 221295420 is about 14876.0014788921. The cubic root of 221295420 is about 604.8636352271.

The spelling of 221295420 in words is "two hundred twenty-one million, two hundred ninety-five thousand, four hundred twenty".