22137024 has 168 divisors, whose sum is σ = 73779888. Its totient is φ = 5806080.

The previous prime is 22137023. The next prime is 22137041. The reversal of 22137024 is 42073122.

It is a Cunningham number, because it is equal to 4705²-1.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is not an unprimeable number, because it can be changed into a prime (22137023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122214 + ... + 122394.

It is an arithmetic number, because the mean of its divisors is an integer number (439166).

Almost surely, 2^22137024 is an apocalyptic number.

22137024 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 22137024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36889944).

22137024 is an abundant number, since it is smaller than the sum of its proper divisors (51642864).

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

22137024 is a wasteful number, since it uses less digits than its factorization.

22137024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 22137024 is about 4704.9998937301. Note that the first 3 decimals coincide. The cubic root of 22137024 is about 280.7844667993.

The spelling of 22137024 in words is "twenty-two million, one hundred thirty-seven thousand, twenty-four".