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2201313223320 = 233547727536869
BaseRepresentation
bin100000000010001000011…
…111100010001010011000
321210102222022012012012020
4200002020133202022120
5242031242141121240
64403134102014440
7315016410445341
oct40021037421230
97712868165166
102201313223320
11779631a21112
122b6767417420
1312c77696b263
14787891350c8
153c3db8a50d0
hex200887e2298

2201313223320 has 128 divisors (see below), whose sum is σ = 6753738700800. Its totient is φ = 573735799296.

The previous prime is 2201313223309. The next prime is 2201313223321. The reversal of 2201313223320 is 233223131022.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201313223321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3831846 + ... + 4368714.

It is an arithmetic number, because the mean of its divisors is an integer number (52763583600).

Almost surely, 22201313223320 is an apocalyptic number.

2201313223320 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 2201313223320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3376869350400).

2201313223320 is an abundant number, since it is smaller than the sum of its proper divisors (4552425477480).

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

2201313223320 is a wasteful number, since it uses less digits than its factorization.

2201313223320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537657 (or 537653 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 2201313223320 its reverse (233223131022), we get a palindrome (2434536354342).

The spelling of 2201313223320 in words is "two trillion, two hundred one billion, three hundred thirteen million, two hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 470 564 705 727 940 1128 1410 1454 1880 2181 2820 2908 3635 4362 5640 5816 7270 8724 10905 14540 17448 21810 29080 34169 43620 68338 87240 102507 136676 170845 205014 273352 341690 410028 512535 536869 683380 820056 1025070 1073738 1366760 1610607 2050140 2147476 2684345 3221214 4100280 4294952 5368690 6442428 8053035 10737380 12884856 16106070 21474760 25232843 32212140 50465686 64424280 75698529 100931372 126164215 151397058 201862744 252328430 302794116 378492645 390303763 504656860 605588232 756985290 780607526 1009313720 1170911289 1513970580 1561215052 1951518815 2341822578 3027941160 3122430104 3903037630 4683645156 5854556445 7806075260 9367290312 11709112890 15612150520 18344276861 23418225780 36688553722 46836451560 55032830583 73377107444 91721384305 110065661166 146754214888 183442768610 220131322332 275164152915 366885537220 440262644664 550328305830 733771074440 1100656611660 2201313223320