2325228516900 has 135 divisors (see below), whose sum is σ = 7537917141601. Its totient is φ = 620024340960.

The previous prime is 2325228516881. The next prime is 2325228516929. The reversal of 2325228516900 is 96158225232.

The square root of 2325228516900 is 1524870.

It is a perfect power (a square), and thus also a powerful number.

2325228516900 is a `hidden beast` number, since 2 + 3 + 25 + 2 + 28 + 516 + 90 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 837082266084 + 1488146250816 = 914922^2 + 1219896^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a super-2 number, since 2×2325228516900² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 137229829 + ... + 137246771.

Almost surely, 2^{2325228516900} is an apocalyptic number.

2325228516900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2325228516900 is the 1524870-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2325228516900

2325228516900 is an abundant number, since it is smaller than the sum of its proper divisors (5212688624701).

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

2325228516900 is an frugal number, since it uses more digits than its factorization.

2325228516900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33912 (or 16953 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 2325228516900 in words is "two trillion, three hundred twenty-five billion, two hundred twenty-eight million, five hundred sixteen thousand, nine hundred".