220362240 has 160 divisors (see below), whose sum is σ = 805305600. Its totient is φ = 50356224.

The previous prime is 220362223. The next prime is 220362277. The reversal of 220362240 is 42263022.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51711 + ... + 55809.

It is an arithmetic number, because the mean of its divisors is an integer number (5033160).

Almost surely, 2^220362240 is an apocalyptic number.

220362240 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 220362240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402652800).

220362240 is an abundant number, since it is smaller than the sum of its proper divisors (584943360).

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

220362240 is an equidigital number, since it uses as much as digits as its factorization.

220362240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4132 (or 4116 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 220362240 is about 14844.6030596982. The cubic root of 220362240 is about 604.0122214389.

The spelling of 220362240 in words is "two hundred twenty million, three hundred sixty-two thousand, two hundred forty".