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2232240322230 = 233531881930241
BaseRepresentation
bin100000011110111011111…
…001000011011010110110
321220101210122222121012000
4200132323321003122312
5243033112010302410
64425251013040130
7320162665446432
oct40367371033266
97811718877160
102232240322230
11790762516296
12300758926046
13132665127399
147a0807519c2
153d0ebaaedc0
hex207bbe436b6

2232240322230 has 128 divisors (see below), whose sum is σ = 6145561497600. Its totient is φ = 575977651200.

The previous prime is 2232240322217. The next prime is 2232240322241. The reversal of 2232240322230 is 322230422322.

2232240322230 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 2 + 403 + 22 + 230 = 666.

It is a super-3 number, since 3×22322403222303 (a number of 38 digits) contains 333 as substring.

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 = 2232240322194 and 2232240322203.

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 63 ways as a sum of consecutive naturals, for example, 73799910 + ... + 73830150.

It is an arithmetic number, because the mean of its divisors is an integer number (48012199200).

Almost surely, 22232240322230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2232240322230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3072780748800).

2232240322230 is an abundant number, since it is smaller than the sum of its proper divisors (3913321175370).

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

2232240322230 is a wasteful number, since it uses less digits than its factorization.

2232240322230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39107 (or 39101 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 2232240322230 its reverse (322230422322), we get a palindrome (2554470744552).

The spelling of 2232240322230 in words is "two trillion, two hundred thirty-two billion, two hundred forty million, three hundred twenty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 90 93 135 155 186 270 279 310 465 558 837 930 1395 1674 2790 4185 8370 8819 17638 26457 30241 44095 52914 60482 79371 88190 90723 132285 151205 158742 181446 238113 264570 272169 273389 302410 396855 453615 476226 544338 546778 793710 816507 820167 907230 937471 1190565 1360845 1366945 1633014 1640334 1874942 2381130 2460501 2721690 2733890 2812413 4082535 4100835 4687355 4921002 5624826 7381503 8165070 8201670 8437239 9374710 12302505 14062065 14763006 16874478 24605010 25311717 28124130 36907515 42186195 50623434 73815030 84372390 126558585 253117170 266695379 533390758 800086137 1333476895 1600172274 2400258411 2666953790 4000430685 4800516822 7200775233 8000861370 8267556749 12001292055 14401550466 16535113498 24002584110 24802670247 36003876165 41337783745 49605340494 72007752330 74408010741 82675567490 124013351235 148816021482 223224032223 248026702470 372040053705 446448064446 744080107410 1116120161115 2232240322230