21234332224 has 112 divisors (see below), whose sum is σ = 49567795200. Its totient is φ = 8837485056.

The previous prime is 21234332173. The next prime is 21234332269. The reversal of 21234332224 is 42223343212.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-4 number, since 4×21234332224⁴ (a number of 42 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 21234332192 and 21234332201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2189017 + ... + 2198695.

It is an arithmetic number, because the mean of its divisors is an integer number (442569600).

Almost surely, 2^21234332224 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 21234332224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24783897600).

21234332224 is an abundant number, since it is smaller than the sum of its proper divisors (28333462976).

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

21234332224 is an equidigital number, since it uses as much as digits as its factorization.

21234332224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9840 (or 9830 counting only the distinct ones).

The product of its digits is 13824, while the sum is 28.

Subtracting from 21234332224 its product of digits (13824), we obtain a square (21234318400 = 145720²).

Adding to 21234332224 its reverse (42223343212), we get a palindrome (63457675436).

The spelling of 21234332224 in words is "twenty-one billion, two hundred thirty-four million, three hundred thirty-two thousand, two hundred twenty-four".