202144200 has 96 divisors (see below), whose sum is σ = 630168000. Its totient is φ = 53602560.

The previous prime is 202144199. The next prime is 202144213. The reversal of 202144200 is 2441202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 202144200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118554 + ... + 120246.

It is an arithmetic number, because the mean of its divisors is an integer number (6564250).

Almost surely, 2^202144200 is an apocalyptic number.

202144200 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 202144200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315084000).

202144200 is an abundant number, since it is smaller than the sum of its proper divisors (428023800).

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

202144200 is a wasteful number, since it uses less digits than its factorization.

202144200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1911 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 202144200 is about 14217.7424368287. The cubic root of 202144200 is about 586.8860161748.

Adding to 202144200 its reverse (2441202), we get a palindrome (204585402).

The spelling of 202144200 in words is "two hundred two million, one hundred forty-four thousand, two hundred".