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22541115044 = 22721936716493
BaseRepresentation
bin10100111111100011…
…100001111010100100
32011011221002021202202
4110333203201322210
5332131011140134
614204422154032
71425406213400
oct247743417244
964157067682
1022541115044
1196179653a8
124450b82918
132182ca12c6
14113b99a100
158bddb8d7e
hex53f8e1ea4

22541115044 has 72 divisors (see below), whose sum is σ = 48436940160. Its totient is φ = 9126540864.

The previous prime is 22541115029. The next prime is 22541115049. The reversal of 22541115044 is 44051114522.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22541114998 and 22541115016.

It is not an unprimeable number, because it can be changed into a prime (22541115049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1358462 + ... + 1374954.

It is an arithmetic number, because the mean of its divisors is an integer number (672735280).

Almost surely, 222541115044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22541115044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24218470080).

22541115044 is an abundant number, since it is smaller than the sum of its proper divisors (25895825116).

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

22541115044 is a wasteful number, since it uses less digits than its factorization.

22541115044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16897 (or 16888 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 29.

Adding to 22541115044 its reverse (44051114522), we get a palindrome (66592229566).

The spelling of 22541115044 in words is "twenty-two billion, five hundred forty-one million, one hundred fifteen thousand, forty-four".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 133 196 266 367 532 734 931 1468 1862 2569 3724 5138 6973 10276 13946 16493 17983 27892 32986 35966 48811 65972 71932 97622 115451 195244 230902 313367 341677 461804 626734 683354 808157 1253468 1366708 1616314 2193569 3232628 4387138 6052931 8774276 12105862 15354983 24211724 30709966 42370517 61419932 84741034 115005689 169482068 230011378 296593619 460022756 593187238 805039823 1186374476 1610079646 3220159292 5635278761 11270557522 22541115044