22749000 has 64 divisors (see below), whose sum is σ = 70986240. Its totient is φ = 6065600.

The previous prime is 22748993. The next prime is 22749011. The reversal of 22749000 is 94722.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 792 + ... + 6791.

It is an arithmetic number, because the mean of its divisors is an integer number (1109160).

Almost surely, 2^22749000 is an apocalyptic number.

22749000 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 22749000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35493120).

22749000 is an abundant number, since it is smaller than the sum of its proper divisors (48237240).

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

22749000 is a wasteful number, since it uses less digits than its factorization.

22749000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7607 (or 7593 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 22749000 is about 4769.5911774491. The cubic root of 22749000 is about 283.3484036582.

The spelling of 22749000 in words is "twenty-two million, seven hundred forty-nine thousand".