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2205100422 = 23478572269
BaseRepresentation
bin1000001101101111…
…0010100110000110
312200200021201010000
42003123302212012
514004001203142
61002450542130
7105434021130
oct20333624606
95620251100
102205100422
11a317a3648
12516597946
13291ac9065
1416cc08050
15cd8c814c
hex836f2986

2205100422 has 80 divisors (see below), whose sum is σ = 5656004640. Its totient is φ = 629016192.

The previous prime is 2205100421. The next prime is 2205100427. The reversal of 2205100422 is 2240015022.

It is a super-2 number, since 2×22051004222 = 9724935742209156168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2205100395 and 2205100404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2205100421) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 970704 + ... + 972972.

It is an arithmetic number, because the mean of its divisors is an integer number (70700058).

Almost surely, 22205100422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2205100422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2828002320).

2205100422 is an abundant number, since it is smaller than the sum of its proper divisors (3450904218).

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

2205100422 is a wasteful number, since it uses less digits than its factorization.

2205100422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3147 (or 3138 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2205100422 is about 46958.4968030281. The cubic root of 2205100422 is about 1301.5957567696.

Adding to 2205100422 its reverse (2240015022), we get a palindrome (4445115444).

The spelling of 2205100422 in words is "two billion, two hundred five million, one hundred thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 567 857 1134 1714 2269 2571 4538 5142 5999 6807 7713 11998 13614 15426 15883 17997 20421 23139 31766 35994 40842 46278 47649 53991 61263 69417 95298 107982 122526 138834 142947 161973 183789 285894 323946 367578 428841 485919 857682 971838 1286523 1944533 2573046 3889066 5833599 11667198 13611731 17500797 27223462 35001594 40835193 52502391 81670386 105004782 122505579 157507173 245011158 315014346 367516737 735033474 1102550211 2205100422