202261224 has 64 divisors (see below), whose sum is σ = 554388480. Its totient is φ = 60984000.

The previous prime is 202261219. The next prime is 202261231. The reversal of 202261224 is 422162202.

202261224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 202261224.

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 15 ways as a sum of consecutive naturals, for example, 53889 + ... + 57519.

It is an arithmetic number, because the mean of its divisors is an integer number (8662320).

Almost surely, 2^202261224 is an apocalyptic number.

202261224 is a gapful number since it is divisible by the number (24) 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 202261224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277194240).

202261224 is an abundant number, since it is smaller than the sum of its proper divisors (352127256).

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

202261224 is a wasteful number, since it uses less digits than its factorization.

202261224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3862 (or 3858 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 202261224 is about 14221.8572626785. The cubic root of 202261224 is about 586.9992464006. Note that the first 3 decimals are identical.

The spelling of 202261224 in words is "two hundred two million, two hundred sixty-one thousand, two hundred twenty-four".