221513952 has 48 divisors (see below), whose sum is σ = 634338432. Its totient is φ = 67125120.

The previous prime is 221513947. The next prime is 221513959. The reversal of 221513952 is 259315122.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221513959) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103828 + ... + 105939.

It is an arithmetic number, because the mean of its divisors is an integer number (13215384).

Almost surely, 2^221513952 is an apocalyptic number.

221513952 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

221513952 is an abundant number, since it is smaller than the sum of its proper divisors (412824480).

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

221513952 is a wasteful number, since it uses less digits than its factorization.

221513952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209791 (or 209783 counting only the distinct ones).

The product of its digits is 5400, while the sum is 30.

The square root of 221513952 is about 14883.3447853633. The cubic root of 221513952 is about 605.0626731968.

The spelling of 221513952 in words is "two hundred twenty-one million, five hundred thirteen thousand, nine hundred fifty-two".