200213000 has 64 divisors (see below), whose sum is σ = 504569520. Its totient is φ = 73920000.

The previous prime is 200212981. The next prime is 200213003. The reversal of 200213000 is 312002.

It can be written as a sum of positive squares in 8 ways, for example, as 21883684 + 178329316 = 4678^2 + 13354^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (200213003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5300 + ... + 20700.

Almost surely, 2^200213000 is an apocalyptic number.

200213000 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 200213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252284760).

200213000 is an abundant number, since it is smaller than the sum of its proper divisors (304356520).

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

200213000 is a wasteful number, since it uses less digits than its factorization.

200213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15435 (or 15421 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 200213000 is about 14149.6643069721. The cubic root of 200213000 is about 585.0110792457.

Adding to 200213000 its reverse (312002), we get a palindrome (200525002).

The spelling of 200213000 in words is "two hundred million, two hundred thirteen thousand".