200266920 has 144 divisors (see below), whose sum is σ = 757198260. Its totient is φ = 45771264.

The previous prime is 200266909. The next prime is 200266949. The reversal of 200266920 is 29662002.

It can be written as a sum of positive squares in 2 ways, for example, as 193265604 + 7001316 = 13902^2 + 2646^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11964 + ... + 23316.

Almost surely, 2^200266920 is an apocalyptic number.

200266920 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 200266920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378599130).

200266920 is an abundant number, since it is smaller than the sum of its proper divisors (556931340).

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

200266920 is a wasteful number, since it uses less digits than its factorization.

200266920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11384 (or 11370 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 200266920 is about 14151.5695242613. The cubic root of 200266920 is about 585.0635915969.

The spelling of 200266920 in words is "two hundred million, two hundred sixty-six thousand, nine hundred twenty".