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2322233212230 = 234537106372893
BaseRepresentation
bin100001110010101111111…
…000101011110101000110
322020000002102111002020000
4201302233320223311012
5301021413200242410
64534452541022130
7326530050421221
oct41625770536506
98200072432200
102322233212230
11815943120548
12316093254946
1313aca762a359
148057a71c5b8
15406174d4dc0
hex21cafe2bd46

2322233212230 has 160 divisors (see below), whose sum is σ = 6419110953024. Its totient is φ = 601950299904.

The previous prime is 2322233212219. The next prime is 2322233212259. The reversal of 2322233212230 is 322123322232.

2322233212230 is a `hidden beast` number, since 2 + 322 + 2 + 332 + 1 + 2 + 2 + 3 + 0 = 666.

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 = 2322233212194 and 2322233212203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31821664 + ... + 31894556.

Almost surely, 22322233212230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2322233212230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3209555476512).

2322233212230 is an abundant number, since it is smaller than the sum of its proper divisors (4096877740794).

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

2322233212230 is a wasteful number, since it uses less digits than its factorization.

2322233212230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74012 (or 74003 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 2322233212230 its reverse (322123322232), we get a palindrome (2644356534462).

The spelling of 2322233212230 in words is "two trillion, three hundred twenty-two billion, two hundred thirty-three million, two hundred twelve thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 81 90 111 135 162 185 222 270 333 370 405 555 666 810 999 1063 1110 1665 1998 2126 2997 3189 3330 4995 5315 5994 6378 9567 9990 10630 14985 15945 19134 28701 29970 31890 39331 47835 57402 72893 78662 86103 95670 117993 143505 145786 172206 196655 218679 235986 287010 353979 364465 393310 430515 437358 589965 656037 707958 728930 861030 1061937 1093395 1179930 1312074 1769895 1968111 2123874 2186790 2697041 3185811 3280185 3539790 3936222 5309685 5394082 5904333 6371622 6560370 8091123 9840555 10619370 11808666 13485205 15929055 16182246 19681110 24273369 26970410 29521665 31858110 40455615 48546738 59043330 72820107 77485259 80911230 121366845 145640214 154970518 218460321 232455777 242733690 364100535 387426295 436920642 464911554 697367331 728201070 774852590 1092301605 1162278885 1394734662 2092101993 2184603210 2324557770 2866954583 3486836655 4184203986 5733909166 6276305979 6973673310 8600863749 10460509965 12552611958 14334772915 17201727498 20921019930 25802591247 28669545830 31381529895 43004318745 51605182494 62763059790 77407773741 86008637490 129012956235 154815547482 232223321223 258025912470 387038868705 464446642446 774077737410 1161116606115 2322233212230