22938016 has 48 divisors (see below), whose sum is σ = 49109760. Its totient is φ = 10506240.

The previous prime is 22938011. The next prime is 22938017. The reversal of 22938016 is 61083922.

22938016 = T₃₉₀₉ + T₃₉₁₀ + T₃₉₁₁.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (22938011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18240 + ... + 19456.

It is an arithmetic number, because the mean of its divisors is an integer number (1023120).

Almost surely, 2^22938016 is an apocalyptic number.

22938016 is the 3911-st centered triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22938016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24554880).

22938016 is an abundant number, since it is smaller than the sum of its proper divisors (26171744).

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

22938016 is a wasteful number, since it uses less digits than its factorization.

22938016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 22938016 is about 4789.3648848255. The cubic root of 22938016 is about 284.1309982187.

22938016 divided by its sum of digits (31) gives a triangular number (739936 = T₁₂₁₆).

The spelling of 22938016 in words is "twenty-two million, nine hundred thirty-eight thousand, sixteen".