202201920 has 280 divisors, whose sum is σ = 746836200. Its totient is φ = 51867648.

The previous prime is 202201817. The next prime is 202201931. The reversal of 202201920 is 29102202.

It can be written as a sum of positive squares in 4 ways, for example, as 1016064 + 201185856 = 1008^2 + 14184^2 .

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 = 202201893 and 202201902.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 751546 + ... + 751814.

Almost surely, 2^202201920 is an apocalyptic number.

202201920 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 202201920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373418100).

202201920 is an abundant number, since it is smaller than the sum of its proper divisors (544634280).

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

202201920 is a wasteful number, since it uses less digits than its factorization.

202201920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 202201920 is about 14219.7721500733. The cubic root of 202201920 is about 586.9418704233.

The spelling of 202201920 in words is "two hundred two million, two hundred one thousand, nine hundred twenty".