Search a number
-
+
2422313322 = 23111359109439
BaseRepresentation
bin1001000001100001…
…1001000101101010
320020211000021012020
42100120121011222
514430103011242
61040210325310
7114012215652
oct22030310552
96224007166
102422313322
111033372940
12577289836
132c7acbcc0
1418d9cb362
15e29d26ec
hex9061916a

2422313322 has 128 divisors (see below), whose sum is σ = 5854464000. Its totient is φ = 658471680.

The previous prime is 2422313317. The next prime is 2422313329. The reversal of 2422313322 is 2233132242.

It is a junction number, because it is equal to n+sod(n) for n = 2422313292 and 2422313301.

It is not an unprimeable number, because it can be changed into a prime (2422313329) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5517579 + ... + 5518017.

It is an arithmetic number, because the mean of its divisors is an integer number (45738000).

Almost surely, 22422313322 is an apocalyptic number.

2422313322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2422313322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2927232000).

2422313322 is an abundant number, since it is smaller than the sum of its proper divisors (3432150678).

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

2422313322 is a wasteful number, since it uses less digits than its factorization.

2422313322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636.

The product of its digits is 3456, while the sum is 24.

The square root of 2422313322 is about 49217.0023670682. The cubic root of 2422313322 is about 1343.0023498618.

Adding to 2422313322 its reverse (2233132242), we get a palindrome (4655445564).

The spelling of 2422313322 in words is "two billion, four hundred twenty-two million, three hundred thirteen thousand, three hundred twenty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 59 66 78 109 118 143 177 218 286 327 354 429 439 649 654 767 858 878 1199 1298 1317 1417 1534 1947 2301 2398 2634 2834 3597 3894 4251 4602 4829 5707 6431 7194 8437 8502 9658 11414 12862 14487 15587 16874 17121 19293 25311 25901 28974 31174 34242 38586 46761 47851 50622 51802 62777 70741 77703 83603 93522 95702 125554 141482 143553 155406 167206 188331 212223 250809 284911 287106 336713 376662 424446 501618 526361 569822 622063 673426 854733 919633 1010139 1052722 1244126 1579083 1709466 1839266 1866189 2020278 2758899 2823209 3158166 3703843 3732378 5517798 5646418 6842693 7407686 8469627 11111529 13685386 16939254 20528079 22223058 31055299 36701717 41056158 62110598 73403434 93165897 110105151 186331794 220210302 403718887 807437774 1211156661 2422313322