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22442321440 = 2557211260231
BaseRepresentation
bin10100111001101010…
…101010011000100000
32010221001012001102101
4110321222222120200
5331430213241230
614150532500144
71423066404400
oct247152523040
963831161371
1022442321440
1195771182a0
124423a7a654
132168690956
14112c800800
158b53a1aca
hex539aaa620

22442321440 has 144 divisors (see below), whose sum is σ = 67283504064. Its totient is φ = 6994982400.

The previous prime is 22442321383. The next prime is 22442321441. The reversal of 22442321440 is 4412324422.

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

It is a junction number, because it is equal to n+sod(n) for n = 22442321399 and 22442321408.

It is not an unprimeable number, because it can be changed into a prime (22442321441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43876 + ... + 216355.

It is an arithmetic number, because the mean of its divisors is an integer number (467246556).

Almost surely, 222442321440 is an apocalyptic number.

22442321440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22442321440 is an abundant number, since it is smaller than the sum of its proper divisors (44841182624).

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

22442321440 is a wasteful number, since it uses less digits than its factorization.

22442321440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260271 (or 260256 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 22442321440 its reverse (4412324422), we get a palindrome (26854645862).

The spelling of 22442321440 in words is "twenty-two billion, four hundred forty-two million, three hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 49 55 56 70 77 80 88 98 110 112 140 154 160 176 196 220 224 245 280 308 352 385 392 440 490 539 560 616 770 784 880 980 1078 1120 1232 1540 1568 1760 1960 2156 2464 2695 3080 3920 4312 5390 6160 7840 8624 10780 12320 17248 21560 43120 86240 260231 520462 1040924 1301155 1821617 2081848 2602310 2862541 3643234 4163696 5204620 5725082 7286468 8327392 9108085 10409240 11450164 12751319 14312705 14572936 18216170 20037787 20818480 22900328 25502638 28625410 29145872 36432340 40075574 41636960 45800656 51005276 57250820 58291744 63756595 72864680 80151148 91601312 100188935 102010552 114501640 127513190 140264509 145729360 160302296 200377870 204021104 229003280 255026380 280529018 291458720 320604592 400755740 408042208 458006560 510052760 561058036 641209184 701322545 801511480 1020105520 1122116072 1402645090 1603022960 2040211040 2244232144 2805290180 3206045920 4488464288 5610580360 11221160720 22442321440