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212214321330 = 235113978211973
BaseRepresentation
bin1100010110100011110…
…1011001000010110010
3202021202120200111102220
43011220331121002302
511434103331240310
6241253453221510
721221603653164
oct3055075310262
9667676614386
10212214321330
1181aaa4a7640
1235166191896
131701c9b374b
14a3b236c934
1557c092c670
hex3168f590b2

212214321330 has 128 divisors (see below), whose sum is σ = 557976335616. Its totient is φ = 51227827200.

The previous prime is 212214321323. The next prime is 212214321391. The reversal of 212214321330 is 33123412212.

It is a self number, because there is not a number n which added to its sum of digits gives 212214321330.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 107558224 + ... + 107560196.

It is an arithmetic number, because the mean of its divisors is an integer number (4359190122).

Almost surely, 2212214321330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212214321330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278988167808).

212214321330 is an abundant number, since it is smaller than the sum of its proper divisors (345762014286).

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

212214321330 is a wasteful number, since it uses less digits than its factorization.

212214321330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3212.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 212214321330 its reverse (33123412212), we get a palindrome (245337733542).

The spelling of 212214321330 in words is "two hundred twelve billion, two hundred fourteen million, three hundred twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 397 794 821 1191 1642 1973 1985 2382 2463 3946 3970 4105 4367 4926 5919 5955 8210 8734 9031 9865 11838 11910 12315 13101 18062 19730 21703 21835 24630 26202 27093 29595 43406 43670 45155 54186 59190 65109 65505 90310 108515 130218 131010 135465 217030 270930 325545 325937 651090 651874 783281 977811 1566562 1619833 1629685 1955622 2349843 3239666 3259370 3585307 3916405 4699686 4859499 4889055 7170614 7832810 8099165 8616091 9718998 9778110 10755921 11749215 16198330 17232182 17818163 17926535 21511842 23498430 24297495 25848273 35636326 35853070 43080455 48594990 51696546 53454489 53779605 86160910 89090815 106908978 107559210 129241365 178181630 258482730 267272445 534544890 643073701 1286147402 1929221103 3215368505 3858442206 6430737010 7073810711 9646105515 14147621422 19292211030 21221432133 35369053555 42442864266 70738107110 106107160665 212214321330