202254240 has 192 divisors, whose sum is σ = 682698240. Its totient is φ = 50181120.

The previous prime is 202254229. The next prime is 202254263. The reversal of 202254240 is 42452202.

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 31 ways as a sum of consecutive naturals, for example, 610875 + ... + 611205.

It is an arithmetic number, because the mean of its divisors is an integer number (3555720).

Almost surely, 2^202254240 is an apocalyptic number.

202254240 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 202254240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341349120).

202254240 is an abundant number, since it is smaller than the sum of its proper divisors (480444000).

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

202254240 is a wasteful number, since it uses less digits than its factorization.

202254240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 202254240 is about 14221.6117230081. The cubic root of 202254240 is about 586.9924900389.

The spelling of 202254240 in words is "two hundred two million, two hundred fifty-four thousand, two hundred forty".