220242420 has 36 divisors (see below), whose sum is σ = 668069220. Its totient is φ = 58731264.

The previous prime is 220242403. The next prime is 220242479. The reversal of 220242420 is 24242022.

220242420 is a `hidden beast` number, since 2 + 2 + 0 + 242 + 420 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 75377124 + 144865296 = 8682^2 + 12036^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 220242393 and 220242402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 611605 + ... + 611964.

Almost surely, 2^220242420 is an apocalyptic number.

220242420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220242420 is an abundant number, since it is smaller than the sum of its proper divisors (447826800).

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

220242420 is a wasteful number, since it uses less digits than its factorization.

220242420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223584 (or 1223579 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 220242420 is about 14840.5667007699. The cubic root of 220242420 is about 603.9027261738.

Adding to 220242420 its reverse (24242022), we get a palindrome (244484442).

The spelling of 220242420 in words is "two hundred twenty million, two hundred forty-two thousand, four hundred twenty".