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22144301330300 = 22521937966146523
BaseRepresentation
bin1010000100011110111110…
…01101101110111101111100
32220101222022102201110021122
411002033133031232331330
510400303012120032200
6115032541313250112
74443605300422562
oct502173715567574
986358272643248
1022144301330300
117068388889096
122597869863938
13c482775a3c46
14567b0b6cba32
152860564cd385
hex1423df36ef7c

22144301330300 has 144 divisors (see below), whose sum is σ = 50793526089600. Its totient is φ = 8356542163200.

The previous prime is 22144301330257. The next prime is 22144301330311. The reversal of 22144301330300 is 303310344122.

It is a self number, because there is not a number n which added to its sum of digits gives 22144301330300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 475962839 + ... + 476009361.

Almost surely, 222144301330300 is an apocalyptic number.

22144301330300 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 22144301330300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25396763044800).

22144301330300 is an abundant number, since it is smaller than the sum of its proper divisors (28649224759300).

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

22144301330300 is a wasteful number, since it uses less digits than its factorization.

22144301330300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47596 (or 47589 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 22144301330300 its reverse (303310344122), we get a palindrome (22447611674422).

The spelling of 22144301330300 in words is "twenty-two trillion, one hundred forty-four billion, three hundred one million, three hundred thirty thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 379 380 475 661 758 950 1322 1516 1895 1900 2644 3305 3790 6610 7201 7580 9475 12559 13220 14402 16525 18950 25118 28804 33050 36005 37900 46523 50236 62795 66100 72010 93046 125590 144020 180025 186092 232615 250519 251180 313975 360050 465230 501038 627950 720100 883937 930460 1002076 1163075 1252595 1255900 1767874 2326150 2505190 3535748 4419685 4652300 4759861 5010380 6262975 8839370 9519722 12525950 17632217 17678740 19039444 22098425 23799305 25051900 30751703 35264434 44196850 47598610 61503406 70528868 88161085 88393700 95197220 118996525 123006812 153758515 176322170 237993050 307517030 335012123 352644340 440805425 475986100 584282357 615034060 670024246 768792575 881610850 1168564714 1340048492 1537585150 1675060615 1763221700 2337129428 2921411785 3075170300 3350121230 5842823570 6700242460 8375303075 11654895437 11685647140 14607058925 16750606150 23309790874 29214117850 33501212300 46619581748 58274477185 58428235700 116548954370 221443013303 233097908740 291372385925 442886026606 582744771850 885772053212 1107215066515 1165489543700 2214430133030 4428860266060 5536075332575 11072150665150 22144301330300