202280 has 32 divisors (see below), whose sum is σ = 491400. Its totient is φ = 74496.

The previous prime is 202277. The next prime is 202289. The reversal of 202280 is 82202.

It can be written as a sum of positive squares in 4 ways, for example, as 98596 + 103684 = 314^2 + 322^2 .

It is not an unprimeable number, because it can be changed into a prime (202289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 326 + ... + 714.

2²⁰²²⁸⁰ is an apocalyptic number.

202280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

202280 is the 260-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245700).

202280 is an abundant number, since it is smaller than the sum of its proper divisors (289120).

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

202280 is a wasteful number, since it uses less digits than its factorization.

202280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 202280 is about 449.7554891271. The cubic root of 202280 is about 58.7017409640.

Adding to 202280 its reverse (82202), we get a palindrome (284482).

The spelling of 202280 in words is "two hundred two thousand, two hundred eighty".