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22103242344 = 2332478297879
BaseRepresentation
bin10100100101011101…
…001011011001101000
32010001102011001100100
4110211131023121220
5330231412223334
614053141105400
71411511313531
oct244535133150
963042131310
1022103242344
119412782137
12434a3b8260
13211335c531
1410d9777688
15895723c99
hex52574b668

22103242344 has 96 divisors (see below), whose sum is σ = 61218144000. Its totient is φ = 7201374336.

The previous prime is 22103242321. The next prime is 22103242453. The reversal of 22103242344 is 44324230122.

It is a super-2 number, since 2×221032423442 (a number of 21 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 2801397 + ... + 2809275.

It is an arithmetic number, because the mean of its divisors is an integer number (637689000).

Almost surely, 222103242344 is an apocalyptic number.

22103242344 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 22103242344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30609072000).

22103242344 is an abundant number, since it is smaller than the sum of its proper divisors (39114901656).

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

22103242344 is a wasteful number, since it uses less digits than its factorization.

22103242344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8767 (or 8760 counting only the distinct ones).

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

Adding to 22103242344 its reverse (44324230122), we get a palindrome (66427472466).

The spelling of 22103242344 in words is "twenty-two billion, one hundred three million, two hundred forty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 376 423 564 829 846 1128 1658 1692 2487 3316 3384 4974 6632 7461 7879 9948 14922 15758 19896 23637 29844 31516 38963 47274 59688 63032 70911 77926 94548 116889 141822 155852 189096 233778 283644 311704 350667 370313 467556 567288 701334 740626 935112 1110939 1402668 1481252 2221878 2805336 2962504 3332817 4443756 6531691 6665634 8887512 13063382 13331268 19595073 26126764 26662536 39190146 52253528 58785219 78380292 117570438 156760584 235140876 306989477 470281752 613978954 920968431 1227957908 1841936862 2455915816 2762905293 3683873724 5525810586 7367747448 11051621172 22103242344