23282000 has 80 divisors (see below), whose sum is σ = 64376832. Its totient is φ = 7977600.

The previous prime is 23281981. The next prime is 23282029. The reversal of 23282000 is 28232.

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

It is a self number, because there is not a number n which added to its sum of digits gives 23282000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13169 + ... + 14831.

Almost surely, 2^23282000 is an apocalyptic number.

23282000 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 23282000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32188416).

23282000 is an abundant number, since it is smaller than the sum of its proper divisors (41094832).

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

23282000 is a wasteful number, since it uses less digits than its factorization.

23282000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 23282000 is about 4825.1424849428. The cubic root of 23282000 is about 285.5442559775.

The spelling of 23282000 in words is "twenty-three million, two hundred eighty-two thousand".