202266240 has 256 divisors, whose sum is σ = 719418240. Its totient is φ = 47923200.

The previous prime is 202266217. The next prime is 202266263. The reversal of 202266240 is 42662202.

It is an interprime number because it is at equal distance from previous prime (202266217) and next prime (202266263).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 202266240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1288242 + ... + 1288398.

Almost surely, 2^202266240 is an apocalyptic number.

202266240 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 202266240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359709120).

202266240 is an abundant number, since it is smaller than the sum of its proper divisors (517152000).

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

202266240 is a wasteful number, since it uses less digits than its factorization.

202266240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 202266240 is about 14222.0336098604. The cubic root of 202266240 is about 587.0040988118.

The spelling of 202266240 in words is "two hundred two million, two hundred sixty-six thousand, two hundred forty".