200281320 has 96 divisors (see below), whose sum is σ = 652789800. Its totient is φ = 53254656.

The previous prime is 200281271. The next prime is 200281343. The reversal of 200281320 is 23182002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 199996164 + 285156 = 14142^2 + 534^2 .

It is a super-2 number, since 2×200281320² = 80225214281884800, which contains 22 as substring.

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 = 200281293 and 200281302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182694 + ... + 183786.

Almost surely, 2^200281320 is an apocalyptic number.

200281320 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 200281320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326394900).

200281320 is an abundant number, since it is smaller than the sum of its proper divisors (452508480).

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

200281320 is a wasteful number, since it uses less digits than its factorization.

200281320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619 (or 1612 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 200281320 is about 14152.0782926042. The cubic root of 200281320 is about 585.0776140721.

The spelling of 200281320 in words is "two hundred million, two hundred eighty-one thousand, three hundred twenty".