200252416 has 132 divisors (see below), whose sum is σ = 503119848. Its totient is φ = 78962688.

The previous prime is 200252413. The next prime is 200252417. The reversal of 200252416 is 614252002.

200252416 = T₅₅₄₄ + T₅₅₄₅ + ... + T₅₅₅₆.

200252416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×200252416² = 80202060227674112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200252413) 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, 652135 + ... + 652441.

It is an arithmetic number, because the mean of its divisors is an integer number (3811514).

Almost surely, 2^200252416 is an apocalyptic number.

200252416 is a gapful number since it is divisible by the number (26) 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 200252416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251559924).

200252416 is an abundant number, since it is smaller than the sum of its proper divisors (302867432).

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

200252416 is a wasteful number, since it uses less digits than its factorization.

200252416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 200252416 is about 14151.0570629900. The cubic root of 200252416 is about 585.0494671687.

The spelling of 200252416 in words is "two hundred million, two hundred fifty-two thousand, four hundred sixteen".