220355452240 has 120 divisors (see below), whose sum is σ = 643583808000. Its totient is φ = 68682197760.

The previous prime is 220355452223. The next prime is 220355452267. The reversal of 220355452240 is 42254553022.

220355452240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 220355452196 and 220355452205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1558240 + ... + 1693759.

It is an arithmetic number, because the mean of its divisors is an integer number (5363198400).

Almost surely, 2^220355452240 is an apocalyptic number.

220355452240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220355452240 is an abundant number, since it is smaller than the sum of its proper divisors (423228355760).

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

220355452240 is a wasteful number, since it uses less digits than its factorization.

220355452240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3252041 (or 3252024 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 34.

The spelling of 220355452240 in words is "two hundred twenty billion, three hundred fifty-five million, four hundred fifty-two thousand, two hundred forty".