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22044310002 = 23311136134657
BaseRepresentation
bin10100100001111100…
…010111100111110010
32002220022020222101000
4110201330113213302
5330121320410002
614043234022430
71410164354241
oct244174274762
962808228330
1022044310002
119392490420
124332717a16
132104097520
1410d19d6958
1589048261c
hex521f179f2

22044310002 has 128 divisors (see below), whose sum is σ = 57657841920. Its totient is φ = 6154859520.

The previous prime is 22044309997. The next prime is 22044310019. The reversal of 22044310002 is 20001344022.

22044310002 is a `hidden beast` number, since 220 + 443 + 1 + 0 + 0 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4731258 + ... + 4735914.

It is an arithmetic number, because the mean of its divisors is an integer number (450451890).

Almost surely, 222044310002 is an apocalyptic number.

22044310002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22044310002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28828920960).

22044310002 is an abundant number, since it is smaller than the sum of its proper divisors (35613531918).

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

22044310002 is a wasteful number, since it uses less digits than its factorization.

22044310002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5305 (or 5299 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 22044310002 its reverse (20001344022), we get a palindrome (42045654024).

The spelling of 22044310002 in words is "twenty-two billion, forty-four million, three hundred ten thousand, two".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 99 117 143 198 234 286 297 351 429 594 613 702 858 1226 1287 1839 2574 3678 3861 4657 5517 6743 7722 7969 9314 11034 13486 13971 15938 16551 20229 23907 27942 33102 40458 41913 47814 51227 60541 60687 71721 83826 87659 102454 121082 121374 125739 143442 153681 175318 181623 182061 215163 251478 262977 307362 363246 364122 430326 461043 525954 544869 665951 788931 922086 1089738 1331902 1383129 1577862 1634607 1997853 2366793 2766258 2854741 3269214 3995706 4733586 5709482 5993559 8564223 11987118 17128446 17980677 25692669 31402151 35961354 37111633 51385338 62804302 74223266 77078007 94206453 111334899 154156014 188412906 222669798 282619359 334004697 408227963 565238718 668009394 816455926 847858077 1002014091 1224683889 1695716154 2004028182 2449367778 3674051667 7348103334 11022155001 22044310002