22314132 has 108 divisors (see below), whose sum is σ = 63655956. Its totient is φ = 6566400.

The previous prime is 22314121. The next prime is 22314133. The reversal of 22314132 is 23141322.

It can be written as a sum of positive squares in 2 ways, for example, as 19766916 + 2547216 = 4446^2 + 1596^2 .

It is a super-3 number, since 3×22314132³ (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 nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22314133) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 220882 + ... + 220982.

It is an arithmetic number, because the mean of its divisors is an integer number (589407).

Almost surely, 2^22314132 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 22314132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31827978).

22314132 is an abundant number, since it is smaller than the sum of its proper divisors (41341824).

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

22314132 is a wasteful number, since it uses less digits than its factorization.

22314132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 142 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 22314132 is about 4723.7836529630. The cubic root of 22314132 is about 281.5312871745.

Adding to 22314132 its reverse (23141322), we get a palindrome (45455454).

It can be divided in two parts, 2 and 2314132, that multiplied together give a palindrome (4628264).

The spelling of 22314132 in words is "twenty-two million, three hundred fourteen thousand, one hundred thirty-two".