Search a number
-
+
22422133363416 = 233127271161316829
BaseRepresentation
bin1010001100100100011110…
…10010110101001011011000
32221101112110000201002022020
411012102033102311023120
510414331012120112131
6115404330314054440
74502642236636203
oct506221722651330
987345400632266
1022422133363416
11716519a8157a6
12262168711a420
13c68523830a87
1457734664893a
1528d3b7930996
hex14648f4b52d8

22422133363416 has 128 divisors (see below), whose sum is σ = 56743715635200. Its totient is φ = 7382812469760.

The previous prime is 22422133363387. The next prime is 22422133363423. The reversal of 22422133363416 is 61436333122422.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1332342490 + ... + 1332359318.

It is an arithmetic number, because the mean of its divisors is an integer number (443310278400).

Almost surely, 222422133363416 is an apocalyptic number.

It is an amenable number.

22422133363416 is an abundant number, since it is smaller than the sum of its proper divisors (34321582271784).

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

22422133363416 is a wasteful number, since it uses less digits than its factorization.

22422133363416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18849 (or 18845 counting only the distinct ones).

The product of its digits is 746496, while the sum is 42.

Adding to 22422133363416 its reverse (61436333122422), we get a palindrome (83858466485838).

The spelling of 22422133363416 in words is "twenty-two trillion, four hundred twenty-two billion, one hundred thirty-three million, three hundred sixty-three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 127 254 271 381 508 542 762 813 1016 1084 1524 1613 1626 2168 3048 3226 3252 4839 6452 6504 9678 12904 16829 19356 33658 34417 38712 50487 67316 68834 100974 103251 134632 137668 201948 204851 206502 275336 403896 409702 413004 437123 614553 819404 826008 874246 1229106 1311369 1638808 1748492 2137283 2458212 2622738 3496984 4274566 4560659 4916424 5245476 6411849 8549132 9121318 10490952 12823698 13681977 17098264 18242636 25647396 27145177 27363954 36485272 51294792 54290354 54727908 55514621 81435531 108580708 109455816 111029242 162871062 166543863 217161416 222058484 325742124 333087726 444116968 579203693 651484248 666175452 1158407386 1332350904 1737611079 2316814772 3447437479 3475222158 4633629544 6894874958 6950444316 7356342967 10342312437 13789749916 13900888632 14712685934 20684624874 22069028901 27579499832 29425371868 41369249748 44138057802 58850743736 82738499496 88276115604 176552231208 934255556809 1868511113618 2802766670427 3737022227236 5605533340854 7474044454472 11211066681708 22422133363416