Search a number
-
+
22022421314320 = 2457213814068041
BaseRepresentation
bin1010000000111011111101…
…00110010111101100010000
32212222022201101222010200201
411000131332212113230100
510341303404324024240
6114500543301424544
74432032062402200
oct500357646275420
985868641863621
1022022421314320
117020724788159
12257811440b154
13c39922a620ab
14561c68800400
15282cc1465d9a
hex14077e997b10

22022421314320 has 120 divisors (see below), whose sum is σ = 59604804934488. Its totient is φ = 7545075148800.

The previous prime is 22022421314297. The next prime is 22022421314393. The reversal of 22022421314320 is 2341312422022.

It can be written as a sum of positive squares in 4 ways, for example, as 4049705462544 + 17972715851776 = 2012388^2 + 4239424^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3379500 + ... + 7447540.

Almost surely, 222022421314320 is an apocalyptic number.

22022421314320 is a gapful number since it is divisible by the number (20) 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 22022421314320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29802402467244).

22022421314320 is an abundant number, since it is smaller than the sum of its proper divisors (37582383620168).

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

22022421314320 is a wasteful number, since it uses less digits than its factorization.

22022421314320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4069449 (or 4069436 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 22022421314320 its reverse (2341312422022), we get a palindrome (24363733736342).

The spelling of 22022421314320 in words is "twenty-two trillion, twenty-two billion, four hundred twenty-one million, three hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1381 1960 2762 3920 5524 6905 9667 11048 13810 19334 22096 27620 38668 48335 55240 67669 77336 96670 110480 135338 154672 193340 270676 338345 386680 541352 676690 773360 1082704 1353380 2706760 4068041 5413520 8136082 16272164 20340205 28476287 32544328 40680410 56952574 65088656 81360820 113905148 142381435 162721640 199334009 227810296 284762870 325443280 398668018 455620592 569525740 797336036 996670045 1139051480 1594672072 1993340090 2278102960 3189344144 3986680180 5617964621 7973360360 11235929242 15946720720 22471858484 28089823105 39325752347 44943716968 56179646210 78651504694 89887433936 112359292420 157303009388 196628761735 224718584840 275280266429 314606018776 393257523470 449437169680 550560532858 629212037552 786515046940 1101121065716 1376401332145 1573030093880 2202242131432 2752802664290 3146060187760 4404484262864 5505605328580 11011210657160 22022421314320