202260000 has 120 divisors (see below), whose sum is σ = 663650064. Its totient is φ = 53920000.

The previous prime is 202259977. The next prime is 202260001. The reversal of 202260000 is 62202.

202260000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (202260001) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 58315 + ... + 61685.

Almost surely, 2^202260000 is an apocalyptic number.

202260000 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 202260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331825032).

202260000 is an abundant number, since it is smaller than the sum of its proper divisors (461390064).

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

202260000 is an equidigital number, since it uses as much as digits as its factorization.

202260000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3404 (or 3381 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 202260000 is about 14221.8142302591. The cubic root of 202260000 is about 586.9980623072.

The spelling of 202260000 in words is "two hundred two million, two hundred sixty thousand".