200032144 has 40 divisors (see below), whose sum is σ = 418527032. Its totient is φ = 92067840.

The previous prime is 200032117. The next prime is 200032163. The reversal of 200032144 is 441230002.

It can be written as a sum of positive squares in 4 ways, for example, as 883600 + 199148544 = 940^2 + 14112^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88954 + ... + 91174.

Almost surely, 2^200032144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200032144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209263516).

200032144 is an abundant number, since it is smaller than the sum of its proper divisors (218494888).

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

200032144 is a wasteful number, since it uses less digits than its factorization.

200032144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2675 (or 2669 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 200032144 is about 14143.2720400903. The cubic root of 200032144 is about 584.8348758397.

Adding to 200032144 its reverse (441230002), we get a palindrome (641262146).

The spelling of 200032144 in words is "two hundred million, thirty-two thousand, one hundred forty-four".