15220445200 has 60 divisors (see below), whose sum is σ = 36628541908. Its totient is φ = 6077952000.

The previous prime is 15220445179. The next prime is 15220445209. The reversal of 15220445200 is 254402251.

It can be written as a sum of positive squares in 6 ways, for example, as 903844096 + 14316601104 = 30064^2 + 119652^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (15220445209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 208744 + ... + 272056.

Almost surely, 2^15220445200 is an apocalyptic number.

15220445200 is a gapful number since it is divisible by the number (10) 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 15220445200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18314270954).

15220445200 is an abundant number, since it is smaller than the sum of its proper divisors (21408096708).

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

15220445200 is a wasteful number, since it uses less digits than its factorization.

15220445200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63932 (or 63921 counting only the distinct ones).

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

Adding to 15220445200 its reverse (254402251), we get a palindrome (15474847451).

The spelling of 15220445200 in words is "fifteen billion, two hundred twenty million, four hundred forty-five thousand, two hundred".