22268961 has 45 divisors (see below), whose sum is σ = 38313795. Its totient is φ = 12458160.

The previous prime is 22268959. The next prime is 22268989. The reversal of 22268961 is 16986222.

22268961 = T₁₆₆ + T₁₆₇ + ... + T₅₁₆.

It is a happy number.

The square root of 22268961 is 4719.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3294225 + 18974736 = 1815^2 + 4356^2 .

It is not a de Polignac number, because 22268961 - 2¹ = 22268959 is a prime.

Its product of digits (20736) is a multiple of the sum of its prime divisors (27).

It is not an unprimeable number, because it can be changed into a prime (22268941) 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 44 ways as a sum of consecutive naturals, for example, 1712991 + ... + 1713003.

Almost surely, 2^22268961 is an apocalyptic number.

22268961 is the 4719-th square number.

22268961 is the 2360-th centered octagonal number.

It is an amenable number.

22268961 is a deficient number, since it is larger than the sum of its proper divisors (16044834).

22268961 is an equidigital number, since it uses as much as digits as its factorization.

22268961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 27 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The cubic root of 22268961 is about 281.3411888013.

Multiplying 22268961 by its sum of digits (36), we get a square (801682596 = 28314²).

Multiplying 22268961 by its product of digits (20736), we get a square (461769175296 = 679536²).

The spelling of 22268961 in words is "twenty-two million, two hundred sixty-eight thousand, nine hundred sixty-one".