200224251520 has 128 divisors (see below), whose sum is σ = 500825255040. Its totient is φ = 76400062464.

The previous prime is 200224251517. The next prime is 200224251581. The reversal of 200224251520 is 25152422002.

200224251520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5472327 + ... + 5508793.

It is an arithmetic number, because the mean of its divisors is an integer number (3912697305).

Almost surely, 2^200224251520 is an apocalyptic number.

200224251520 is a gapful number since it is divisible by the number (20) 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 200224251520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250412627520).

200224251520 is an abundant number, since it is smaller than the sum of its proper divisors (300601003520).

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

200224251520 is a wasteful number, since it uses less digits than its factorization.

200224251520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36882 (or 36870 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 200224251520 its reverse (25152422002), we get a palindrome (225376673522).

The spelling of 200224251520 in words is "two hundred billion, two hundred twenty-four million, two hundred fifty-one thousand, five hundred twenty".