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22123042344 = 233213217106949
BaseRepresentation
bin10100100110101000…
…101101011000101000
32010002210101222211200
4110212220231120220
5330301444323334
614055125324200
71412141520504
oct244650553050
963083358750
1022123042344
119422976177
124354b66660
1321174a2900
1410dc24d304
15897335799
hex526a2d628

22123042344 has 144 divisors (see below), whose sum is σ = 68697193500. Its totient is φ = 6406612992.

The previous prime is 22123042247. The next prime is 22123042373. The reversal of 22123042344 is 44324032122.

22123042344 is a `hidden beast` number, since 2 + 2 + 1 + 230 + 423 + 4 + 4 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 6363252900 + 15759789444 = 79770^2 + 125538^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 153382 + ... + 260330.

Almost surely, 222123042344 is an apocalyptic number.

22123042344 is a gapful number since it is divisible by the number (24) 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 22123042344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34348596750).

22123042344 is an abundant number, since it is smaller than the sum of its proper divisors (46574151156).

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

22123042344 is a wasteful number, since it uses less digits than its factorization.

22123042344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107004 (or 106984 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 22123042344 its reverse (44324032122), we get a palindrome (66447074466).

The spelling of 22123042344 in words is "twenty-two billion, one hundred twenty-three million, forty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 17 18 24 26 34 36 39 51 52 68 72 78 102 104 117 136 153 156 169 204 221 234 306 312 338 408 442 468 507 612 663 676 884 936 1014 1224 1326 1352 1521 1768 1989 2028 2652 2873 3042 3978 4056 5304 5746 6084 7956 8619 11492 12168 15912 17238 22984 25857 34476 51714 68952 103428 106949 206856 213898 320847 427796 641694 855592 962541 1283388 1390337 1818133 1925082 2566776 2780674 3636266 3850164 4171011 5454399 5561348 7272532 7700328 8342022 10908798 11122696 12513033 14545064 16363197 16684044 18074381 21817596 23635729 25026066 32726394 33368088 36148762 43635192 47271458 50052132 54223143 65452788 70907187 72297524 94542916 100104264 108446286 130905576 141814374 144595048 162669429 189085832 212721561 216892572 283628748 307264477 325338858 425443122 433785144 567257496 614528954 650677716 850886244 921793431 1229057908 1301355432 1701772488 1843586862 2458115816 2765380293 3687173724 5530760586 7374347448 11061521172 22123042344