22077216 has 144 divisors (see below), whose sum is σ = 73592064. Its totient is φ = 6147072.

The previous prime is 22077193. The next prime is 22077241. The reversal of 22077216 is 61277022.

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

It is a self number, because there is not a number n which added to its sum of digits gives 22077216.

It is an unprimeable number.

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, 94636 + ... + 94868.

It is an arithmetic number, because the mean of its divisors is an integer number (511056).

Almost surely, 2^22077216 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 22077216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36796032).

22077216 is an abundant number, since it is smaller than the sum of its proper divisors (51514848).

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

22077216 is a wasteful number, since it uses less digits than its factorization.

22077216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 22077216 is about 4698.6398031771. The cubic root of 22077216 is about 280.5313718998.

The spelling of 22077216 in words is "twenty-two million, seventy-seven thousand, two hundred sixteen".