23198000 has 80 divisors (see below), whose sum is σ = 64144704. Its totient is φ = 7948800.

The previous prime is 23197987. The next prime is 23198009. The reversal of 23198000 is 89132.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (23198009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13172 + ... + 14828.

Almost surely, 2^23198000 is an apocalyptic number.

23198000 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 23198000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32072352).

23198000 is an abundant number, since it is smaller than the sum of its proper divisors (40946704).

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

23198000 is a wasteful number, since it uses less digits than its factorization.

23198000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1687 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 23198000 is about 4816.4302133427. The cubic root of 23198000 is about 285.2004335427.

The spelling of 23198000 in words is "twenty-three million, one hundred ninety-eight thousand".