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22246004466 = 2327172610919
BaseRepresentation
bin10100101101111101…
…110001011011110010
32010102100210010011100
4110231331301123302
5331024434120331
614115241025230
71415163626610
oct245575613362
963370703140
1022246004466
119486320464
12438a185216
132136ac5b6a
1411106da6b0
158a3023ae6
hex52df716f2

22246004466 has 72 divisors (see below), whose sum is σ = 58516361280. Its totient is φ = 5982109056.

The previous prime is 22246004461. The next prime is 22246004477. The reversal of 22246004466 is 66440064222.

22246004466 is a `hidden beast` number, since 2 + 2 + 2 + 4 + 600 + 4 + 46 + 6 = 666.

It is a super-4 number, since 4×222460044664 (a number of 42 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22246004466.

It is not an unprimeable number, because it can be changed into a prime (22246004461) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 269046 + ... + 341873.

It is an arithmetic number, because the mean of its divisors is an integer number (812727240).

Almost surely, 222246004466 is an apocalyptic number.

22246004466 is an abundant number, since it is smaller than the sum of its proper divisors (36270356814).

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

22246004466 is a wasteful number, since it uses less digits than its factorization.

22246004466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610968 (or 610948 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 22246004466 its reverse (66440064222), we get a palindrome (88686068688).

The spelling of 22246004466 in words is "twenty-two billion, two hundred forty-six million, four thousand, four hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 238 289 306 357 578 714 867 1071 1734 2023 2142 2601 4046 5202 6069 12138 18207 36414 610919 1221838 1832757 3665514 4276433 5498271 8552866 10385623 10996542 12829299 20771246 25658598 31156869 38487897 62313738 72699361 76975794 93470607 145398722 176555591 186941214 218098083 353111182 436196166 529666773 654294249 1059333546 1235889137 1308588498 1589000319 2471778274 3178000638 3707667411 7415334822 11123002233 22246004466