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22200202122 = 2374719358271
BaseRepresentation
bin10100101011001111…
…000011001110001010
32010022011121010011020
4110223033003032022
5330431222431442
614110523213310
71414066414230
oct245317031612
963264533136
1022200202122
11946248748a
124376977236
13212a47a297
1411085b6950
1589dec79ec
hex52b3c338a

22200202122 has 64 divisors (see below), whose sum is σ = 52092370944. Its totient is φ = 6175687680.

The previous prime is 22200202099. The next prime is 22200202139. The reversal of 22200202122 is 22120200222.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 351847 + ... + 410117.

It is an arithmetic number, because the mean of its divisors is an integer number (813943296).

Almost surely, 222200202122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22200202122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26046185472).

22200202122 is an abundant number, since it is smaller than the sum of its proper divisors (29892168822).

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

22200202122 is a wasteful number, since it uses less digits than its factorization.

22200202122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58523.

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 22200202122 its reverse (22120200222), we get a palindrome (44320402344).

The spelling of 22200202122 in words is "twenty-two billion, two hundred million, two hundred two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 47 94 141 193 282 329 386 579 658 987 1158 1351 1974 2702 4053 8106 9071 18142 27213 54426 58271 63497 116542 126994 174813 190491 349626 380982 407897 815794 1223691 2447382 2738737 5477474 8216211 11246303 16432422 19171159 22492606 33738909 38342318 57513477 67477818 78724121 115026954 157448242 236172363 472344726 528576241 1057152482 1585728723 3171457446 3700033687 7400067374 11100101061 22200202122