220352420 has 24 divisors (see below), whose sum is σ = 482860224. Its totient is φ = 84308576.

The previous prime is 220352417. The next prime is 220352423. The reversal of 220352420 is 24253022.

It is an interprime number because it is at equal distance from previous prime (220352417) and next prime (220352423).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 220352392 and 220352401.

It is not an unprimeable number, because it can be changed into a prime (220352423) 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 7 ways as a sum of consecutive naturals, for example, 239054 + ... + 239973.

It is an arithmetic number, because the mean of its divisors is an integer number (20119176).

Almost surely, 2^220352420 is an apocalyptic number.

220352420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220352420 is an abundant number, since it is smaller than the sum of its proper divisors (262507804).

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

220352420 is a wasteful number, since it uses less digits than its factorization.

220352420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479059 (or 479057 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 220352420 is about 14844.2722960743. The cubic root of 220352420 is about 604.0032491090.

The spelling of 220352420 in words is "two hundred twenty million, three hundred fifty-two thousand, four hundred twenty".