22849120 has 96 divisors (see below), whose sum is σ = 64447488. Its totient is φ = 7484928.

The previous prime is 22849109. The next prime is 22849121. The reversal of 22849120 is 2194822.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22849121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25317 + ... + 26203.

It is an arithmetic number, because the mean of its divisors is an integer number (671328).

Almost surely, 2^22849120 is an apocalyptic number.

22849120 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 22849120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32223744).

22849120 is an abundant number, since it is smaller than the sum of its proper divisors (41598368).

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

22849120 is a wasteful number, since it uses less digits than its factorization.

22849120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 22849120 is about 4780.0753132142. The cubic root of 22849120 is about 283.7634742966.

The spelling of 22849120 in words is "twenty-two million, eight hundred forty-nine thousand, one hundred twenty".