200036416 has 56 divisors (see below), whose sum is σ = 428350680. Its totient is φ = 92332032.

The previous prime is 200036413. The next prime is 200036423. The reversal of 200036416 is 614630002.

200036416 = T₁₆₃ + T₁₆₄ + ... + T₁₀₆₃.

It can be written as a sum of positive squares in 4 ways, for example, as 23040000 + 176996416 = 4800^2 + 13304^2 .

It is a super-2 number, since 2×200036416² = 80029135452250112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (200036411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55930 + ... + 59398.

Almost surely, 2^200036416 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 200036416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214175340).

200036416 is an abundant number, since it is smaller than the sum of its proper divisors (228314264).

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

200036416 is a wasteful number, since it uses less digits than its factorization.

200036416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3551 (or 3541 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 200036416 is about 14143.4230651565. The cubic root of 200036416 is about 584.8390391652.

Adding to 200036416 its reverse (614630002), we get a palindrome (814666418).

It can be divided in two parts, 2000 and 36416, that added together give a 4-th power (38416 = 14⁴).

The spelling of 200036416 in words is "two hundred million, thirty-six thousand, four hundred sixteen".