202281120 has 72 divisors (see below), whose sum is σ = 690289236. Its totient is φ = 53941248.

The previous prime is 202281041. The next prime is 202281133. The reversal of 202281120 is 21182202.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 197458704 + 4822416 = 14052^2 + 2196^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 202281093 and 202281102.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68797 + ... + 71676.

Almost surely, 2^202281120 is an apocalyptic number.

202281120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202281120 is an abundant number, since it is smaller than the sum of its proper divisors (488008116).

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

202281120 is a wasteful number, since it uses less digits than its factorization.

202281120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140494 (or 140483 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 202281120 is about 14222.5567321772. The cubic root of 202281120 is about 587.0184930524.

The spelling of 202281120 in words is "two hundred two million, two hundred eighty-one thousand, one hundred twenty".