22225916226969 has 135 divisors (see below), whose sum is σ = 40571580565503. Its totient is φ = 11718808055136.

The previous prime is 22225916226893. The next prime is 22225916227007. The reversal of 22225916226969 is 96962261952222.

The square root of 22225916226969 is 4714437.

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

22225916226969 is a `hidden beast` number, since 2 + 2 + 2 + 259 + 1 + 62 + 269 + 69 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3287857430025 + 18938058796944 = 1813245^2 + 4351788^2 .

It is not a de Polignac number, because 22225916226969 - 2¹⁷ = 22225916095897 is a prime.

It is a super-2 number, since 2×22225916226969² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (22225916227969) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 9009287874 + ... + 9009290340.

Almost surely, 2^{22225916226969} is an apocalyptic number.

22225916226969 is the 4714437-th square number.

22225916226969 is the 2357219-th centered octagonal number.

It is an amenable number.

22225916226969 is a deficient number, since it is larger than the sum of its proper divisors (18345664338534).

22225916226969 is an frugal number, since it uses more digits than its factorization.

22225916226969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4994 (or 2490 counting only the distinct ones).

The product of its digits is 50388480, while the sum is 63.

The spelling of 22225916226969 in words is "twenty-two trillion, two hundred twenty-five billion, nine hundred sixteen million, two hundred twenty-six thousand, nine hundred sixty-nine".