22321152 has 144 divisors (see below), whose sum is σ = 74103120. Its totient is φ = 6340608.

The previous prime is 22321151. The next prime is 22321157. The reversal of 22321152 is 25112322.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×22321152³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22321151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128938 + ... + 129110.

It is an arithmetic number, because the mean of its divisors is an integer number (514605).

Almost surely, 2^22321152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22321152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37051560).

22321152 is an abundant number, since it is smaller than the sum of its proper divisors (51781968).

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

22321152 is a wasteful number, since it uses less digits than its factorization.

22321152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 185 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 22321152 is about 4724.5266429559. The cubic root of 22321152 is about 281.5608072176.

Adding to 22321152 its reverse (25112322), we get a palindrome (47433474).

The spelling of 22321152 in words is "twenty-two million, three hundred twenty-one thousand, one hundred fifty-two".