36222816 has 96 divisors (see below), whose sum is σ = 114428160. Its totient is φ = 9801216.

The previous prime is 36222799. The next prime is 36222829. The reversal of 36222816 is 61822263.

36222816 is a nontrivial binomial coefficient, being equal to C(8512, 2).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 11350 + ... + 14186.

It is an arithmetic number, because the mean of its divisors is an integer number (1191960).

Almost surely, 2^36222816 is an apocalyptic number.

36222816 is the 8511-st triangular number and also the 4256-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36222816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57214080).

36222816 is an abundant number, since it is smaller than the sum of its proper divisors (78205344).

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

36222816 is a wasteful number, since it uses less digits than its factorization.

36222816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2876 (or 2868 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 36222816 is about 6018.5393576847. The cubic root of 36222816 is about 330.8725485404.

The spelling of 36222816 in words is "thirty-six million, two hundred twenty-two thousand, eight hundred sixteen".