22275360 has 144 divisors (see below), whose sum is σ = 78624000. Its totient is φ = 5736960.

The previous prime is 22275347. The next prime is 22275361. The reversal of 22275360 is 6357222.

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

It is not an unprimeable number, because it can be changed into a prime (22275361) 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, 44391 + ... + 44889.

It is an arithmetic number, because the mean of its divisors is an integer number (546000).

Almost surely, 2^22275360 is an apocalyptic number.

22275360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22275360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39312000).

22275360 is an abundant number, since it is smaller than the sum of its proper divisors (56348640).

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

22275360 is a wasteful number, since it uses less digits than its factorization.

22275360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 22275360 is about 4719.6779551152. The cubic root of 22275360 is about 281.3681340766.

The spelling of 22275360 in words is "twenty-two million, two hundred seventy-five thousand, three hundred sixty".