220349952 has 60 divisors (see below), whose sum is σ = 635958180. Its totient is φ = 73448448.

The previous prime is 220349951. The next prime is 220349963. The reversal of 220349952 is 259943022.

220349952 is a `hidden beast` number, since 220 + 349 + 95 + 2 = 666.

220349952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220349951) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19302 + ... + 28517.

It is an arithmetic number, because the mean of its divisors is an integer number (10599303).

Almost surely, 2^220349952 is an apocalyptic number.

It is an amenable number.

220349952 is an abundant number, since it is smaller than the sum of its proper divisors (415608228).

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

220349952 is an equidigital number, since it uses as much as digits as its factorization.

220349952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47843 (or 47824 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 220349952 is about 14844.1891661350. The cubic root of 220349952 is about 604.0009941068. Note that the first 3 decimals are identical.

The spelling of 220349952 in words is "two hundred twenty million, three hundred forty-nine thousand, nine hundred fifty-two".