201314200 has 48 divisors (see below), whose sum is σ = 469623960. Its totient is φ = 80256000.

The previous prime is 201314189. The next prime is 201314209. The reversal of 201314200 is 2413102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201314209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64680 + ... + 67720.

Almost surely, 2^201314200 is an apocalyptic number.

201314200 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 201314200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234811980).

201314200 is an abundant number, since it is smaller than the sum of its proper divisors (268309760).

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

201314200 is a wasteful number, since it uses less digits than its factorization.

201314200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3388 (or 3379 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 201314200 is about 14188.5235313615. The cubic root of 201314200 is about 586.0816669137.

Adding to 201314200 its reverse (2413102), we get a palindrome (203727302).

The spelling of 201314200 in words is "two hundred one million, three hundred fourteen thousand, two hundred".