23198400 has 210 divisors, whose sum is σ = 85747860. Its totient is φ = 6151680.

The previous prime is 23198389. The next prime is 23198443. The reversal of 23198400 is 489132.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 129511 + ... + 129689.

Almost surely, 2^23198400 is an apocalyptic number.

23198400 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 23198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42873930).

23198400 is an abundant number, since it is smaller than the sum of its proper divisors (62549460).

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

23198400 is a wasteful number, since it uses less digits than its factorization.

23198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 23198400 is about 4816.4717376935. The cubic root of 23198400 is about 285.2020727575.

The spelling of 23198400 in words is "twenty-three million, one hundred ninety-eight thousand, four hundred".