22451616 has 144 divisors (see below), whose sum is σ = 73513440. Its totient is φ = 6428160.

The previous prime is 22451609. The next prime is 22451617. The reversal of 22451616 is 61615422.

22451616 is a `hidden beast` number, since 2 + 2 + 45 + 1 + 616 = 666.

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

It is a super-2 number, since 2×22451616² = 1008150122022912, which contains 22 as substring.

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 22451616.

It is not an unprimeable number, because it can be changed into a prime (22451617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60006 + ... + 60378.

It is an arithmetic number, because the mean of its divisors is an integer number (510510).

Almost surely, 2^22451616 is an apocalyptic number.

22451616 is the 2736-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22451616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36756720).

22451616 is an abundant number, since it is smaller than the sum of its proper divisors (51061824).

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

22451616 is a wasteful number, since it uses less digits than its factorization.

22451616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 408 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 22451616 is about 4738.3136240650. The cubic root of 22451616 is about 282.1083030512.

The spelling of 22451616 in words is "twenty-two million, four hundred fifty-one thousand, six hundred sixteen".