200813220 has 72 divisors (see below), whose sum is σ = 619153080. Its totient is φ = 52669440.

The previous prime is 200813209. The next prime is 200813243. The reversal of 200813220 is 22318002.

It is a happy number.

200813220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 24029604 + 176783616 = 4902^2 + 13296^2 .

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 = 200813193 and 200813202.

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, 1836 + ... + 20124.

Almost surely, 2^200813220 is an apocalyptic number.

200813220 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 200813220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309576540).

200813220 is an abundant number, since it is smaller than the sum of its proper divisors (418339860).

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

200813220 is a wasteful number, since it uses less digits than its factorization.

200813220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18365 (or 18360 counting only the distinct ones).

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

The square root of 200813220 is about 14170.8581250396. The cubic root of 200813220 is about 585.5950990027.

The spelling of 200813220 in words is "two hundred million, eight hundred thirteen thousand, two hundred twenty".