2300161600 has 189 divisors, whose sum is σ = 6278739411. Its totient is φ = 828748800.

The previous prime is 2300161597. The next prime is 2300161601. The reversal of 2300161600 is 61610032.

The square root of 2300161600 is 47960.

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

It can be written as a sum of positive squares in 4 ways, for example, as 8433216 + 2291728384 = 2904^2 + 47872^2 .

It is a super-2 number, since 2×2300161600² = 10581486772229120000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2300161601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21102346 + ... + 21102454.

Almost surely, 2^2300161600 is an apocalyptic number.

2300161600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2300161600 is the 47960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2300161600

2300161600 is an abundant number, since it is smaller than the sum of its proper divisors (3978577811).

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

2300161600 is a wasteful number, since it uses less digits than its factorization.

2300161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The cubic root of 2300161600 is about 1320.0370359979.

Adding to 2300161600 its reverse (61610032), we get a palindrome (2361771632).

The spelling of 2300161600 in words is "two billion, three hundred million, one hundred sixty-one thousand, six hundred".