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2122442322 = 2371113379551
BaseRepresentation
bin111111010000001…
…1110011001010010
312110220202020111220
41332200132121102
513321321123242
6550335145510
7103411314330
oct17640363122
95426666456
102122442322
1199a077370
124b2975296
1327a947b40
14161c4cb50
15c64ebbec
hex7e81e652

2122442322 has 128 divisors (see below), whose sum is σ = 5854076928. Its totient is φ = 495072000.

The previous prime is 2122442317. The next prime is 2122442347. The reversal of 2122442322 is 2232442212.

It is a super-2 number, since 2×21224423222 = 9009522820433503368, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2122442292 and 2122442301.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 217447 + ... + 226997.

It is an arithmetic number, because the mean of its divisors is an integer number (45734976).

Almost surely, 22122442322 is an apocalyptic number.

2122442322 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 2122442322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2927038464).

2122442322 is an abundant number, since it is smaller than the sum of its proper divisors (3731634606).

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

2122442322 is a wasteful number, since it uses less digits than its factorization.

2122442322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9624.

The product of its digits is 3072, while the sum is 24.

The square root of 2122442322 is about 46069.9720208294. The cubic root of 2122442322 is about 1285.1247835137.

Adding to 2122442322 its reverse (2232442212), we get a palindrome (4354884534).

It can be divided in two parts, 21224 and 42322, that added together give a triangular number (63546 = T356).

The spelling of 2122442322 in words is "two billion, one hundred twenty-two million, four hundred forty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 37 39 42 66 74 77 78 91 111 143 154 182 222 231 259 273 286 407 429 462 481 518 546 777 814 858 962 1001 1221 1443 1554 2002 2442 2849 2886 3003 3367 5291 5698 6006 6734 8547 9551 10101 10582 15873 17094 19102 20202 28653 31746 37037 57306 66857 74074 105061 111111 124163 133714 200571 210122 222222 248326 315183 353387 372489 401142 630366 706774 735427 744978 869141 1060161 1365793 1470854 1738282 2120322 2206281 2473709 2607423 2731586 3887257 4097379 4412562 4594031 4947418 5214846 7421127 7774514 8194758 9188062 9560551 11661771 13782093 14842254 19121102 23323542 27210799 27564186 28681653 32158217 50534341 54421598 57363306 64316434 81632397 96474651 101068682 151603023 163264794 192949302 303206046 353740387 707480774 1061221161 2122442322