200166330 has 256 divisors, whose sum is σ = 661893120. Its totient is φ = 37490688.

The previous prime is 200166293. The next prime is 200166371. The reversal of 200166330 is 33661002.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 200166297 and 200166306.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 881677 + ... + 881903.

It is an arithmetic number, because the mean of its divisors is an integer number (2585520).

Almost surely, 2^200166330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200166330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330946560).

200166330 is an abundant number, since it is smaller than the sum of its proper divisors (461726790).

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

200166330 is a wasteful number, since it uses less digits than its factorization.

200166330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293.

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 200166330 is about 14148.0150551235. The cubic root of 200166330 is about 584.9656200118.

The spelling of 200166330 in words is "two hundred million, one hundred sixty-six thousand, three hundred thirty".