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212211212220 = 223257401341969
BaseRepresentation
bin1100010110100011000…
…1100001111110111100
3202021202100211112112200
43011220301201332330
511434102032242340
6241253302431500
721221535353550
oct3055061417674
9667670745480
10212211212220
1181aa8773727
1235165132590
131701c165537
14a3b1b9d860
1557c0516330
hex3168c61fbc

212211212220 has 144 divisors (see below), whose sum is σ = 735866389440. Its totient is φ = 48492177408.

The previous prime is 212211212207. The next prime is 212211212243. The reversal of 212211212220 is 22212112212.

It is a happy number.

212211212220 is a `hidden beast` number, since 21 + 2 + 211 + 212 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 212211212193 and 212211212202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5035396 + ... + 5077364.

It is an arithmetic number, because the mean of its divisors is an integer number (5110183260).

Almost surely, 2212211212220 is an apocalyptic number.

212211212220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212211212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367933194720).

212211212220 is an abundant number, since it is smaller than the sum of its proper divisors (523655177220).

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

212211212220 is a wasteful number, since it uses less digits than its factorization.

212211212220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46004 (or 45999 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212211212220 its reverse (22212112212), we get a palindrome (234423324432).

The spelling of 212211212220 in words is "two hundred twelve billion, two hundred eleven million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 4013 8026 12039 16052 20065 24078 28091 36117 40130 41969 48156 56182 60195 72234 80260 83938 84273 112364 120390 125907 140455 144468 167876 168546 180585 209845 240780 251814 252819 280910 293783 337092 361170 377721 419690 421365 503628 505638 561820 587566 629535 722340 755442 839380 842730 881349 1011276 1175132 1259070 1264095 1468915 1510884 1685460 1762698 1888605 2518140 2528190 2644047 2937830 3525396 3777210 4406745 5056380 5288094 5875660 7554420 8813490 10576188 13220235 17626980 26440470 52880940 168421597 336843194 505264791 673686388 842107985 1010529582 1178951179 1515794373 1684215970 2021059164 2357902358 2526323955 3031588746 3368431940 3536853537 4715804716 5052647910 5894755895 6063177492 7073707074 7578971865 10105295820 10610560611 11789511790 14147414148 15157943730 17684267685 21221121222 23579023580 30315887460 35368535370 42442242444 53052803055 70737070740 106105606110 212211212220