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212230312002 = 233113163379563
BaseRepresentation
bin1100010110100111101…
…0011001000001000010
3202021210200202220112000
43011221322121001002
511434121424441002
6241255224044430
721222156613212
oct3055172310102
9667720686460
10212230312002
1182008529675
123516b603716
13170230c1c97
14a3b4532242
1557c203a61c
hex3169e99042

212230312002 has 128 divisors (see below), whose sum is σ = 480831206400. Its totient is φ = 69379898112.

The previous prime is 212230312001. The next prime is 212230312031. The reversal of 212230312002 is 200213032212.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (212230312001) 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, 376962973 + ... + 376963535.

It is an arithmetic number, because the mean of its divisors is an integer number (3756493800).

Almost surely, 2212230312002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212230312002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240415603200).

212230312002 is an abundant number, since it is smaller than the sum of its proper divisors (268600894398).

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

212230312002 is a wasteful number, since it uses less digits than its factorization.

212230312002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1229 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 212230312002 its reverse (200213032212), we get a palindrome (412443344214).

The spelling of 212230312002 in words is "two hundred twelve billion, two hundred thirty million, three hundred twelve thousand, two".

Divisors: 1 2 3 6 9 18 27 54 113 163 226 326 339 379 489 563 678 758 978 1017 1126 1137 1467 1689 2034 2274 2934 3051 3378 3411 4401 5067 6102 6822 8802 10134 10233 15201 18419 20466 30402 36838 42827 55257 61777 63619 85654 91769 110514 123554 127238 128481 165771 183538 185331 190857 213377 256962 275307 331542 370662 381714 385443 426754 497313 550614 555993 572571 640131 770886 825921 994626 1111986 1145142 1156329 1280262 1651842 1667979 1717713 1920393 2312658 2477763 3335958 3435426 3840786 4955526 5761179 6980801 10369897 11522358 13961602 20739794 20942403 24111601 31109691 34780451 41884806 48223202 62219382 62827209 69560902 72334803 93329073 104341353 125654418 144669606 186658146 188481627 208682706 217004409 279987219 313024059 376963254 434008818 559974438 626048118 651013227 939072177 1302026454 1878144354 3930190963 7860381926 11790572889 23581145778 35371718667 70743437334 106115156001 212230312002