201324200 has 192 divisors, whose sum is σ = 618710400. Its totient is φ = 58982400.

The previous prime is 201324197. The next prime is 201324259. The reversal of 201324200 is 2423102.

201324200 = T₁₅ + T₁₆ + ... + T₁₀₆₄.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 261416 + ... + 262184.

It is an arithmetic number, because the mean of its divisors is an integer number (3222450).

Almost surely, 2^201324200 is an apocalyptic number.

201324200 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 201324200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309355200).

201324200 is an abundant number, since it is smaller than the sum of its proper divisors (417386200).

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

201324200 is a wasteful number, since it uses less digits than its factorization.

201324200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 201324200 is about 14188.8759244698. The cubic root of 201324200 is about 586.0913710141.

Adding to 201324200 its reverse (2423102), we get a palindrome (203747302).

The spelling of 201324200 in words is "two hundred one million, three hundred twenty-four thousand, two hundred".