Search a number
-
+
22024244022440 = 2351125003909547
BaseRepresentation
bin1010000000111111010110…
…01111011100110010101000
32212222111102102201022011212
411000133223033130302220
510341321122432204230
6114501444212412252
74432125204225062
oct500375317346250
985874372638155
1022024244022440
11702147a641800
122578542917088
13c39b535730ca
14561d9c908732
15282d7b4a7895
hex1407eb3dcca8

22024244022440 has 96 divisors (see below), whose sum is σ = 54479996958240. Its totient is φ = 8007206401920.

The previous prime is 22024244022433. The next prime is 22024244022457. The reversal of 22024244022440 is 4422044242022.

It is a junction number, because it is equal to n+sod(n) for n = 22024244022397 and 22024244022406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23759747 + ... + 24669293.

It is an arithmetic number, because the mean of its divisors is an integer number (567499968315).

Almost surely, 222024244022440 is an apocalyptic number.

22024244022440 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 22024244022440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27239998479120).

22024244022440 is an abundant number, since it is smaller than the sum of its proper divisors (32455752935800).

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

22024244022440 is a wasteful number, since it uses less digits than its factorization.

22024244022440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914583 (or 914568 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 22024244022440 its reverse (4422044242022), we get a palindrome (26446288264462).

The spelling of 22024244022440 in words is "twenty-two trillion, twenty-four billion, two hundred forty-four million, twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 4840 5003 10006 20012 25015 40024 50030 55033 100060 110066 200120 220132 275165 440264 550330 605363 909547 1100660 1210726 1819094 2201320 2421452 3026815 3638188 4547735 4842904 6053630 7276376 9095470 10005017 12107260 18190940 20010034 24214520 36381880 40020068 50025085 80040136 100050170 110055187 200100340 220110374 400200680 440220748 550275935 880441496 1100551870 2201103740 4402207480 4550463641 9100927282 18201854564 22752318205 36403709128 45504636410 50055100051 91009272820 100110200102 182018545640 200220400204 250275500255 400440800408 500551000510 550606100561 1001102001020 1101212201122 2002204002040 2202424402244 2753030502805 4404848804488 5506061005610 11012122011220 22024244022440