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22408453368 = 23327193230369
BaseRepresentation
bin10100110111101001…
…011101110011111000
32010211200110101011100
4110313221131303320
5331343031001433
614143322531400
71422205465560
oct246751356370
963750411140
1022408453368
119559a95754
124414666b60
132161663182
141128105da0
158b2411b13
hex537a5dcf8

22408453368 has 96 divisors (see below), whose sum is σ = 69719176800. Its totient is φ = 6369214464.

The previous prime is 22408453367. The next prime is 22408453391. The reversal of 22408453368 is 86335480422.

22408453368 is a `hidden beast` number, since 2 + 240 + 8 + 45 + 3 + 368 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22408453367) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17913 + ... + 212456.

It is an arithmetic number, because the mean of its divisors is an integer number (726241425).

Almost surely, 222408453368 is an apocalyptic number.

22408453368 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22408453368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34859588400).

22408453368 is an abundant number, since it is smaller than the sum of its proper divisors (47310723432).

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

22408453368 is a wasteful number, since it uses less digits than its factorization.

22408453368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230581 (or 230574 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 22408453368 in words is "twenty-two billion, four hundred eight million, four hundred fifty-three thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 193 252 386 504 579 772 1158 1351 1544 1737 2316 2702 3474 4053 4632 5404 6948 8106 10808 12159 13896 16212 24318 32424 48636 97272 230369 460738 691107 921476 1382214 1612583 1842952 2073321 2764428 3225166 4146642 4837749 5528856 6450332 8293284 9675498 12900664 14513247 16586568 19350996 29026494 38701992 44461217 58052988 88922434 116105976 133383651 177844868 266767302 311228519 355689736 400150953 533534604 622457038 800301906 933685557 1067069208 1244914076 1600603812 1867371114 2489828152 2801056671 3201207624 3734742228 5602113342 7469484456 11204226684 22408453368