202224960 has 252 divisors, whose sum is σ = 809696628. Its totient is φ = 46190592.

The previous prime is 202224941. The next prime is 202224983. The reversal of 202224960 is 69422202.

It can be written as a sum of positive squares in 2 ways, for example, as 122943744 + 79281216 = 11088^2 + 8904^2 .

It is a tau number, because it is divible by the number of its divisors (252).

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 35 ways as a sum of consecutive naturals, for example, 140404 + ... + 141836.

Almost surely, 2^202224960 is an apocalyptic number.

202224960 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 202224960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404848314).

202224960 is an abundant number, since it is smaller than the sum of its proper divisors (607471668).

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

202224960 is a wasteful number, since it uses less digits than its factorization.

202224960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 202224960 is about 14220.5822665600. The cubic root of 202224960 is about 586.9641627060.

The spelling of 202224960 in words is "two hundred two million, two hundred twenty-four thousand, nine hundred sixty".