221514920 has 64 divisors (see below), whose sum is σ = 572356800. Its totient is φ = 76308480.

The previous prime is 221514919. The next prime is 221514949. The reversal of 221514920 is 29415122.

It is a self number, because there is not a number n which added to its sum of digits gives 221514920.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4889 + ... + 21608.

It is an arithmetic number, because the mean of its divisors is an integer number (8943075).

Almost surely, 2^221514920 is an apocalyptic number.

221514920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221514920 is an abundant number, since it is smaller than the sum of its proper divisors (350841880).

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

221514920 is a wasteful number, since it uses less digits than its factorization.

221514920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26538 (or 26534 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 221514920 is about 14883.3773048996. The cubic root of 221514920 is about 605.0635545556.

The spelling of 221514920 in words is "two hundred twenty-one million, five hundred fourteen thousand, nine hundred twenty".