200161800 has 192 divisors, whose sum is σ = 698169600. Its totient is φ = 52704000.

The previous prime is 200161781. The next prime is 200161811. The reversal of 200161800 is 8161002.

200161800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 545217 + ... + 545583.

It is an arithmetic number, because the mean of its divisors is an integer number (3636300).

Almost surely, 2^200161800 is an apocalyptic number.

200161800 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 200161800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349084800).

200161800 is an abundant number, since it is smaller than the sum of its proper divisors (498007800).

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

200161800 is a wasteful number, since it uses less digits than its factorization.

200161800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 200161800 is about 14147.8549610886. The cubic root of 200161800 is about 584.9612071580.

The spelling of 200161800 in words is "two hundred million, one hundred sixty-one thousand, eight hundred".