200652144 has 120 divisors (see below), whose sum is σ = 649041792. Its totient is φ = 51893760.

The previous prime is 200652143. The next prime is 200652157. The reversal of 200652144 is 441256002.

It is a super-2 number, since 2×200652144² = 80522565783593472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200652143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 861052 + ... + 861284.

Almost surely, 2^200652144 is an apocalyptic number.

200652144 is a gapful number since it is divisible by the number (24) 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 200652144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324520896).

200652144 is an abundant number, since it is smaller than the sum of its proper divisors (448389648).

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

200652144 is a wasteful number, since it uses less digits than its factorization.

200652144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 200652144 is about 14165.1736311279. The cubic root of 200652144 is about 585.4384848989.

The spelling of 200652144 in words is "two hundred million, six hundred fifty-two thousand, one hundred forty-four".