22953000 has 128 divisors (see below), whose sum is σ = 81918720. Its totient is φ = 5241600.

The previous prime is 22952999. The next prime is 22953037. The reversal of 22953000 is 35922.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20454 + ... + 21546.

It is an arithmetic number, because the mean of its divisors is an integer number (639990).

Almost surely, 2^22953000 is an apocalyptic number.

22953000 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 22953000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40959360).

22953000 is an abundant number, since it is smaller than the sum of its proper divisors (58965720).

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

22953000 is a wasteful number, since it uses less digits than its factorization.

22953000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 22953000 is about 4790.9289287152. The cubic root of 22953000 is about 284.1928532076.

Adding to 22953000 its reverse (35922), we get a palindrome (22988922).

The spelling of 22953000 in words is "twenty-two million, nine hundred fifty-three thousand".