15225314000 has 160 divisors (see below), whose sum is σ = 40062081696. Its totient is φ = 5562777600.

The previous prime is 15225313963. The next prime is 15225314003. The reversal of 15225314000 is 41352251.

It can be written as a sum of positive squares in 16 ways, for example, as 14690409616 + 534904384 = 121204^2 + 23128^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15225314003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2518982 + ... + 2525018.

Almost surely, 2^15225314000 is an apocalyptic number.

15225314000 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 15225314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20031040848).

15225314000 is an abundant number, since it is smaller than the sum of its proper divisors (24836767696).

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

15225314000 is a wasteful number, since it uses less digits than its factorization.

15225314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6170 (or 6154 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

Adding to 15225314000 its reverse (41352251), we get a palindrome (15266666251).

The spelling of 15225314000 in words is "fifteen billion, two hundred twenty-five million, three hundred fourteen thousand".