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233122333230 = 23354383241921
BaseRepresentation
bin1101100100011100101…
…1001000001000101110
3211021201200210112212000
43121013023020020232
512304413304130410
6255032300353130
722561663065123
oct3310713101056
9737650715760
10233122333230
118a959530416
12392202457a6
1318ca252b717
14b3d709874a
1560e6258dc0
hex36472c822e

233122333230 has 128 divisors (see below), whose sum is σ = 643783472640. Its totient is φ = 59988418560.

The previous prime is 233122333219. The next prime is 233122333243. The reversal of 233122333230 is 32333221332.

233122333230 is a `hidden beast` number, since 2 + 3 + 312 + 23 + 3 + 323 + 0 = 666.

233122333230 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 233122333194 and 233122333203.

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 63 ways as a sum of consecutive naturals, for example, 842670 + ... + 1084590.

It is an arithmetic number, because the mean of its divisors is an integer number (5029558380).

Almost surely, 2233122333230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233122333230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321891736320).

233122333230 is an abundant number, since it is smaller than the sum of its proper divisors (410661139410).

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

233122333230 is a wasteful number, since it uses less digits than its factorization.

233122333230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242063 (or 242057 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 233122333230 its reverse (32333221332), we get a palindrome (265455554562).

The spelling of 233122333230 in words is "two hundred thirty-three billion, one hundred twenty-two million, three hundred thirty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 43 45 54 83 86 90 129 135 166 215 249 258 270 387 415 430 498 645 747 774 830 1161 1245 1290 1494 1935 2241 2322 2490 3569 3735 3870 4482 5805 7138 7470 10707 11205 11610 17845 21414 22410 32121 35690 53535 64242 96363 107070 160605 192726 241921 321210 481815 483842 725763 963630 1209605 1451526 2177289 2419210 3628815 4354578 6531867 7257630 10402603 10886445 13063734 20079443 20805206 21772890 31207809 32659335 40158886 52013015 60238329 62415618 65318670 93623427 100397215 104026030 120476658 156039045 180714987 187246854 200794430 280870281 301191645 312078090 361429974 468117135 542144961 561740562 602383290 863416049 903574935 936234270 1084289922 1404351405 1726832098 1807149870 2590248147 2710724805 2808702810 4317080245 5180496294 5421449610 7770744441 8634160490 12951240735 15541488882 23312233323 25902481470 38853722205 46624466646 77707444410 116561166615 233122333230