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212211223420 = 2257103125911689
BaseRepresentation
bin1100010110100011000…
…1100100101101111100
3202021202100212002220111
43011220301210231330
511434102033122140
6241253302555404
721221535431320
oct3055061445574
9667670762814
10212211223420
1181aa8781089
1235165138b64
131701c16a671
14a3b1ba3980
1557c05197ea
hex3168c64b7c

212211223420 has 96 divisors (see below), whose sum is σ = 514704153600. Its totient is φ = 71988355584.

The previous prime is 212211223417. The next prime is 212211223489. The reversal of 212211223420 is 24322112212.

212211223420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 212211223391 and 212211223400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18148936 + ... + 18160624.

It is an arithmetic number, because the mean of its divisors is an integer number (5361501600).

Almost surely, 2212211223420 is an apocalyptic number.

212211223420 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 212211223420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257352076800).

212211223420 is an abundant number, since it is smaller than the sum of its proper divisors (302492930180).

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

212211223420 is a wasteful number, since it uses less digits than its factorization.

212211223420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13067 (or 13065 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 212211223420 its reverse (24322112212), we get a palindrome (236533335632).

The spelling of 212211223420 in words is "two hundred twelve billion, two hundred eleven million, two hundred twenty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 103 140 206 412 515 721 1030 1259 1442 2060 2518 2884 3605 5036 6295 7210 8813 11689 12590 14420 17626 23378 25180 35252 44065 46756 58445 81823 88130 116890 129677 163646 176260 233780 259354 327292 409115 518708 648385 818230 907739 1203967 1296770 1636460 1815478 2407934 2593540 3630956 4538695 4815868 6019835 8427769 9077390 12039670 14716451 16855538 18154780 24079340 29432902 33711076 42138845 58865804 73582255 84277690 103015157 147164510 168555380 206030314 294329020 412060628 515075785 1030151570 1515794453 2060303140 3031588906 6063177812 7578972265 10610561171 15157944530 21221122342 30315889060 42442244684 53052805855 106105611710 212211223420