220264240 has 120 divisors (see below), whose sum is σ = 622183392. Its totient is φ = 71024640.

The previous prime is 220264217. The next prime is 220264241. The reversal of 220264240 is 42462022.

It is not an unprimeable number, because it can be changed into a prime (220264241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161160 + ... + 162520.

Almost surely, 2^220264240 is an apocalyptic number.

220264240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220264240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311091696).

220264240 is an abundant number, since it is smaller than the sum of its proper divisors (401919152).

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

220264240 is a wasteful number, since it uses less digits than its factorization.

220264240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 220264240 is about 14841.3018296914. The cubic root of 220264240 is about 603.9226689295.

The spelling of 220264240 in words is "two hundred twenty million, two hundred sixty-four thousand, two hundred forty".