200116224 has 384 divisors, whose sum is σ = 754790400. Its totient is φ = 50872320.

The previous prime is 200116219. The next prime is 200116229. The reversal of 200116224 is 422611002.

It is an interprime number because it is at equal distance from previous prime (200116219) and next prime (200116229).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 200116197 and 200116206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200116229) 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 31 ways as a sum of consecutive naturals, for example, 4257769 + ... + 4257815.

It is an arithmetic number, because the mean of its divisors is an integer number (1965600).

Almost surely, 2^200116224 is an apocalyptic number.

200116224 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 200116224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377395200).

200116224 is an abundant number, since it is smaller than the sum of its proper divisors (554674176).

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

200116224 is a wasteful number, since it uses less digits than its factorization.

200116224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 200116224 is about 14146.2441658555. The cubic root of 200116224 is about 584.9168060524.

Adding to 200116224 its reverse (422611002), we get a palindrome (622727226).

It can be divided in two parts, 2001 and 16224, that added together give a square (18225 = 135²).

The spelling of 200116224 in words is "two hundred million, one hundred sixteen thousand, two hundred twenty-four".