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212231232330 = 235136110188327
BaseRepresentation
bin1100010110100111110…
…1111001101101001010
3202021210202111122222020
43011221331321231022
511434122143413310
6241255255505310
721222200465325
oct3055175715512
9667722448866
10212231232330
1182008aa8077
123516b988236
1317023354b60
14a3b46d17bc
1557c216d170
hex3169f79b4a

212231232330 has 128 divisors (see below), whose sum is σ = 563054962176. Its totient is φ = 50875776000.

The previous prime is 212231232313. The next prime is 212231232337. The reversal of 212231232330 is 33232132212.

It is a zygodrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 212231232330.

It is not an unprimeable number, because it can be changed into a prime (212231232337) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2358627 + ... + 2446953.

It is an arithmetic number, because the mean of its divisors is an integer number (4398866892).

Almost surely, 2212231232330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212231232330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281527481088).

212231232330 is an abundant number, since it is smaller than the sum of its proper divisors (350823729846).

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

212231232330 is a wasteful number, since it uses less digits than its factorization.

212231232330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88512.

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

Adding to 212231232330 its reverse (33232132212), we get a palindrome (245463364542).

The spelling of 212231232330 in words is "two hundred twelve billion, two hundred thirty-one million, two hundred thirty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 61 65 78 101 122 130 183 195 202 303 305 366 390 505 606 610 793 915 1010 1313 1515 1586 1830 2379 2626 3030 3939 3965 4758 6161 6565 7878 7930 11895 12322 13130 18483 19695 23790 30805 36966 39390 61610 80093 88327 92415 160186 176654 184830 240279 264981 400465 441635 480558 529962 800930 883270 1148251 1201395 1324905 2296502 2402790 2649810 3444753 5387947 5741255 6889506 8921027 10775894 11482510 16163841 17223765 17842054 26763081 26939735 32327682 34447530 44605135 53526162 53879470 70043311 80819205 89210270 115973351 133815405 140086622 161638410 210129933 231946702 267630810 347920053 350216555 420259866 544182647 579866755 695840106 700433110 1050649665 1088365294 1159733510 1632547941 1739600265 2101299330 2720913235 3265095882 3479200530 5441826470 7074374411 8162739705 14148748822 16325479410 21223123233 35371872055 42446246466 70743744110 106115616165 212231232330