22149120 has 192 divisors, whose sum is σ = 81768960. Its totient is φ = 5013504.

The previous prime is 22149091. The next prime is 22149121. The reversal of 22149120 is 2194122.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22149121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214989 + ... + 215091.

It is an arithmetic number, because the mean of its divisors is an integer number (425880).

Almost surely, 2^22149120 is an apocalyptic number.

22149120 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 22149120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40884480).

22149120 is an abundant number, since it is smaller than the sum of its proper divisors (59619840).

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

22149120 is a wasteful number, since it uses less digits than its factorization.

22149120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 22149120 is about 4706.2851592312. The cubic root of 22149120 is about 280.8355990938.

The spelling of 22149120 in words is "twenty-two million, one hundred forty-nine thousand, one hundred twenty".