220577952 has 96 divisors (see below), whose sum is σ = 672706944. Its totient is φ = 61977600.

The previous prime is 220577933. The next prime is 220577953. The reversal of 220577952 is 259775022.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 220577952.

It is not an unprimeable number, because it can be changed into a prime (220577953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38302 + ... + 43682.

It is an arithmetic number, because the mean of its divisors is an integer number (7007364).

Almost surely, 2^220577952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220577952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336353472).

220577952 is an abundant number, since it is smaller than the sum of its proper divisors (452128992).

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

220577952 is a wasteful number, since it uses less digits than its factorization.

220577952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5462 (or 5454 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 39.

The square root of 220577952 is about 14851.8669533497. The cubic root of 220577952 is about 604.2092458066.

The spelling of 220577952 in words is "two hundred twenty million, five hundred seventy-seven thousand, nine hundred fifty-two".