200051200 has 60 divisors (see below), whose sum is σ = 495674190. Its totient is φ = 80015360.

The previous prime is 200051197. The next prime is 200051231. The reversal of 200051200 is 2150002.

It can be written as a sum of positive squares in 3 ways, for example, as 195105024 + 4946176 = 13968^2 + 2224^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4986 + ... + 20614.

Almost surely, 2^200051200 is an apocalyptic number.

200051200 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 200051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247837095).

200051200 is an abundant number, since it is smaller than the sum of its proper divisors (295622990).

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

200051200 is an equidigital number, since it uses as much as digits as its factorization.

200051200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15657 (or 15636 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 200051200 is about 14143.9457012532. The cubic root of 200051200 is about 584.8534466208.

It can be divided in two parts, 2000 and 51200, that multiplied together give a 5-th power (102400000 = 40⁵).

The spelling of 200051200 in words is "two hundred million, fifty-one thousand, two hundred".