22033632 has 96 divisors (see below), whose sum is σ = 64012032. Its totient is φ = 6600704.

The previous prime is 22033619. The next prime is 22033633. The reversal of 22033632 is 23633022.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×22033632² = 970961878222848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22033599 and 22033608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22033633) 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, 37243 + ... + 37829.

It is an arithmetic number, because the mean of its divisors is an integer number (666792).

Almost surely, 2^22033632 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 22033632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32006016).

22033632 is an abundant number, since it is smaller than the sum of its proper divisors (41978400).

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

22033632 is a wasteful number, since it uses less digits than its factorization.

22033632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 22033632 is about 4693.9995739241. Note that the first 3 decimals coincide. The cubic root of 22033632 is about 280.3466454989.

Adding to 22033632 its reverse (23633022), we get a palindrome (45666654).

The spelling of 22033632 in words is "twenty-two million, thirty-three thousand, six hundred thirty-two".