22998144 has 128 divisors (see below), whose sum is σ = 69914880. Its totient is φ = 6635520.

The previous prime is 22998133. The next prime is 22998169. The reversal of 22998144 is 44189922.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 84729 + ... + 84999.

It is an arithmetic number, because the mean of its divisors is an integer number (546210).

Almost surely, 2^22998144 is an apocalyptic number.

22998144 is a gapful number since it is divisible by the number (24) 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 22998144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34957440).

22998144 is an abundant number, since it is smaller than the sum of its proper divisors (46916736).

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

22998144 is a wasteful number, since it uses less digits than its factorization.

22998144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 306 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 22998144 is about 4795.6380180326. The cubic root of 22998144 is about 284.3790481894.

The spelling of 22998144 in words is "twenty-two million, nine hundred ninety-eight thousand, one hundred forty-four".