23198587200 has 252 divisors, whose sum is σ = 84466460988. Its totient is φ = 6035251200.

The previous prime is 23198587199. The next prime is 23198587201. The reversal of 23198587200 is 278589132.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23198587199) and next prime (23198587201).

It can be written as a sum of positive squares in 6 ways, for example, as 467597376 + 22730989824 = 21624^2 + 150768^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23198587201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 570754 + ... + 610046.

It is an arithmetic number, because the mean of its divisors is an integer number (335184369).

Almost surely, 2^23198587200 is an apocalyptic number.

23198587200 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 23198587200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42233230494).

23198587200 is an abundant number, since it is smaller than the sum of its proper divisors (61267873788).

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

23198587200 is a wasteful number, since it uses less digits than its factorization.

23198587200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39362 (or 39344 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

It can be divided in two parts, 2319858 and 7200, that multiplied together give a square (16702977600 = 129240²).

The spelling of 23198587200 in words is "twenty-three billion, one hundred ninety-eight million, five hundred eighty-seven thousand, two hundred".