220949505 has 64 divisors (see below), whose sum is σ = 451315200. Its totient is φ = 100465920.

The previous prime is 220949497. The next prime is 220949507. The reversal of 220949505 is 505949022.

It is a happy number.

It is not a de Polignac number, because 220949505 - 2³ = 220949497 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 220949505.

It is not an unprimeable number, because it can be changed into a prime (220949507) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 215895 + ... + 216915.

It is an arithmetic number, because the mean of its divisors is an integer number (7051800).

Almost surely, 2^220949505 is an apocalyptic number.

It is an amenable number.

220949505 is an abundant number, since it is smaller than the sum of its proper divisors (230365695).

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

220949505 is a wasteful number, since it uses less digits than its factorization.

220949505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1271 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 220949505 is about 14864.3703196604. The cubic root of 220949505 is about 604.5483093484.

The spelling of 220949505 in words is "two hundred twenty million, nine hundred forty-nine thousand, five hundred five".