220420512 has 144 divisors (see below), whose sum is σ = 682318728. Its totient is φ = 67092480.

The previous prime is 220420489. The next prime is 220420531. The reversal of 220420512 is 215024022.

It can be written as a sum of positive squares in 4 ways, for example, as 59536656 + 160883856 = 7716^2 + 12684^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×220420512² = 97170404220684288, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 422812 + ... + 423332.

Almost surely, 2^220420512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220420512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341159364).

220420512 is an abundant number, since it is smaller than the sum of its proper divisors (461898216).

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

220420512 is a wasteful number, since it uses less digits than its factorization.

220420512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 652 counting only the distinct ones).

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

The square root of 220420512 is about 14846.5656634792. The cubic root of 220420512 is about 604.0654578708.

Adding to 220420512 its reverse (215024022), we get a palindrome (435444534).

The spelling of 220420512 in words is "two hundred twenty million, four hundred twenty thousand, five hundred twelve".