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2230333322100 = 22352135211097659
BaseRepresentation
bin100000011101001010001…
…110011011001101110100
321220012212202121221210120
4200131022032123031310
5243020210312301400
64424333451251540
7320064511303332
oct40351216331564
97805782557716
102230333322100
1178a974019924
12300306149bb0
13132420012540
1479d3d384b52
153d03946cca0
hex2074a39b374

2230333322100 has 144 divisors (see below), whose sum is σ = 6962834975040. Its totient is φ = 547950873600.

The previous prime is 2230333322003. The next prime is 2230333322143. The reversal of 2230333322100 is 12233330322.

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, 1483071 + ... + 2580729.

It is an arithmetic number, because the mean of its divisors is an integer number (48353020660).

Almost surely, 22230333322100 is an apocalyptic number.

2230333322100 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 2230333322100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3481417487520).

2230333322100 is an abundant number, since it is smaller than the sum of its proper divisors (4732501652940).

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

2230333322100 is a wasteful number, since it uses less digits than its factorization.

2230333322100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098210 (or 1098203 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 2230333322100 its reverse (12233330322), we get a palindrome (2242566652422).

The spelling of 2230333322100 in words is "two trillion, two hundred thirty billion, three hundred thirty-three million, three hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 521 650 780 975 1042 1300 1563 1950 2084 2605 3126 3900 5210 6252 6773 7815 10420 13025 13546 15630 20319 26050 27092 31260 33865 39075 40638 52100 67730 78150 81276 101595 135460 156300 169325 203190 338650 406380 507975 677300 1015950 1097659 2031900 2195318 3292977 4390636 5488295 6585954 10976590 13171908 14269567 16464885 21953180 27441475 28539134 32929770 42808701 54882950 57078268 65859540 71347835 82324425 85617402 109765900 142695670 164648850 171234804 214043505 285391340 329297700 356739175 428087010 571880339 713478350 856174020 1070217525 1143760678 1426956700 1715641017 2140435050 2287521356 2859401695 3431282034 4280870100 5718803390 6862564068 7434444407 8578205085 11437606780 14297008475 14868888814 17156410170 22303333221 28594016950 29737777628 34312820340 37172222035 42891025425 44606666442 57188033900 74344444070 85782050850 89213332884 111516666105 148688888140 171564101700 185861110175 223033332210 371722220350 446066664420 557583330525 743444440700 1115166661050 2230333322100