220245120 has 96 divisors (see below), whose sum is σ = 760553820. Its totient is φ = 58730496.

The previous prime is 220245119. The next prime is 220245121. The reversal of 220245120 is 21542022.

It is an interprime number because it is at equal distance from previous prime (220245119) and next prime (220245121).

It can be written as a sum of positive squares in 2 ways, for example, as 219276864 + 968256 = 14808^2 + 984^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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 = 220245093 and 220245102.

It is not an unprimeable number, because it can be changed into a prime (220245121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13359 + ... + 24878.

Almost surely, 2^220245120 is an apocalyptic number.

220245120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220245120 is an abundant number, since it is smaller than the sum of its proper divisors (540308700).

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

220245120 is a wasteful number, since it uses less digits than its factorization.

220245120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38262 (or 38247 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 220245120 is about 14840.6576673677. The cubic root of 220245120 is about 603.9051939555.

Adding to 220245120 its reverse (21542022), we get a palindrome (241787142).

The spelling of 220245120 in words is "two hundred twenty million, two hundred forty-five thousand, one hundred twenty".