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22023004332120 = 233511103161981497
BaseRepresentation
bin1010000000111101000010…
…10110011010000001011000
32212222101020001000111202120
411000132201112122001120
510341311103102111440
6114501121205501240
74432052402101431
oct500364126320130
985871201014676
1022023004332120
1170209a3897050
122578257711820
13c399b679303c
14561cc2006488
15282d0772bdd0
hex1407a159a058

22023004332120 has 128 divisors (see below), whose sum is σ = 72775047421440. Its totient is φ = 5287076029440.

The previous prime is 22023004332113. The next prime is 22023004332157. The reversal of 22023004332120 is 2123340032022.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80854789 + ... + 81126708.

It is an arithmetic number, because the mean of its divisors is an integer number (568555057980).

Almost surely, 222023004332120 is an apocalyptic number.

22023004332120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22023004332120 is an abundant number, since it is smaller than the sum of its proper divisors (50752043089320).

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

22023004332120 is a wasteful number, since it uses less digits than its factorization.

22023004332120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161981625 (or 161981621 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 22023004332120 its reverse (2123340032022), we get a palindrome (24146344364142).

The spelling of 22023004332120 in words is "twenty-two trillion, twenty-three billion, four million, three hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 103 110 120 132 165 206 220 264 309 330 412 440 515 618 660 824 1030 1133 1236 1320 1545 2060 2266 2472 3090 3399 4120 4532 5665 6180 6798 9064 11330 12360 13596 16995 22660 27192 33990 45320 67980 135960 161981497 323962994 485944491 647925988 809907485 971888982 1295851976 1619814970 1781796467 1943777964 2429722455 3239629940 3563592934 3887555928 4859444910 5345389401 6479259880 7127185868 8908982335 9718889820 10690778802 14254371736 16684094191 17817964670 19437779640 21381557604 26726947005 33368188382 35635929340 42763115208 50052282573 53453894010 66736376764 71271858680 83420470955 100104565146 106907788020 133472753528 166840941910 183525036101 200209130292 213815576040 250261412865 333681883820 367050072202 400418260584 500522825730 550575108303 667363767640 734100144404 917625180505 1001045651460 1101150216606 1468200288808 1835250361010 2002091302920 2202300433212 2752875541515 3670500722020 4404600866424 5505751083030 7341001444040 11011502166060 22023004332120