32238000 has 200 divisors, whose sum is σ = 117031200. Its totient is φ = 8553600.

The previous prime is 32237999. The next prime is 32238023. The reversal of 32238000 is 83223.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 161901 + ... + 162099.

It is an arithmetic number, because the mean of its divisors is an integer number (585156).

Almost surely, 2^32238000 is an apocalyptic number.

32238000 is a gapful number since it is divisible by the number (30) 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 32238000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58515600).

32238000 is an abundant number, since it is smaller than the sum of its proper divisors (84793200).

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

32238000 is a wasteful number, since it uses less digits than its factorization.

32238000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 32238000 is about 5677.8517064115. The cubic root of 32238000 is about 318.2653534533.

The spelling of 32238000 in words is "thirty-two million, two hundred thirty-eight thousand".