220013820 has 240 divisors, whose sum is σ = 769536768. Its totient is φ = 52254720.

The previous prime is 220013819. The next prime is 220013869. The reversal of 220013820 is 28310022.

It is a happy number.

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 = 220013793 and 220013802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 652692 + ... + 653028.

Almost surely, 2^220013820 is an apocalyptic number.

220013820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220013820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384768384).

220013820 is an abundant number, since it is smaller than the sum of its proper divisors (549522948).

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

220013820 is a wasteful number, since it uses less digits than its factorization.

220013820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 220013820 is about 14832.8628389802. The cubic root of 220013820 is about 603.6937141309.

Adding to 220013820 its reverse (28310022), we get a palindrome (248323842).

The spelling of 220013820 in words is "two hundred twenty million, thirteen thousand, eight hundred twenty".