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22280418945 = 3253713381633
BaseRepresentation
bin10100110000000001…
…000011011010000001
32010111202112112221200
4110300001003122001
5331112241401240
614122510411413
71416062302431
oct246001033201
963452475850
1022280418945
1194a3796584
124399800b69
132140c85265
1411150d82c1
158a6070930
hex530043681

22280418945 has 24 divisors (see below), whose sum is σ = 39663163176. Its totient is φ = 11561730048.

The previous prime is 22280418899. The next prime is 22280418947. The reversal of 22280418945 is 54981408222.

22280418945 is a `hidden beast` number, since 2 + 228 + 0 + 418 + 9 + 4 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 766569969 + 21513848976 = 27687^2 + 146676^2 .

It is not a de Polignac number, because 22280418945 - 27 = 22280418817 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 22280418945.

It is not an unprimeable number, because it can be changed into a prime (22280418947) 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, 6689152 + ... + 6692481.

It is an arithmetic number, because the mean of its divisors is an integer number (1652631799).

Almost surely, 222280418945 is an apocalyptic number.

It is an amenable number.

22280418945 is a deficient number, since it is larger than the sum of its proper divisors (17382744231).

22280418945 is a wasteful number, since it uses less digits than its factorization.

22280418945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13381681 (or 13381678 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 22280418945 in words is "twenty-two billion, two hundred eighty million, four hundred eighteen thousand, nine hundred forty-five".

Divisors: 1 3 5 9 15 37 45 111 185 333 555 1665 13381633 40144899 66908165 120434697 200724495 495120421 602173485 1485361263 2475602105 4456083789 7426806315 22280418945