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212422014 = 2347199859
BaseRepresentation
bin11001010100101…
…00110101111110
3112210201011020000
430222110311332
5413340001024
633024535130
75156362110
oct1452246576
9483634200
10212422014
11a99a7892
125b1814a6
13350163cc
14202d73b0
15139aecc9
hexca94d7e

212422014 has 80 divisors (see below), whose sum is σ = 572668800. Its totient is φ = 57491856.

The previous prime is 212421977. The next prime is 212422051. The reversal of 212422014 is 410224212.

It is an interprime number because it is at equal distance from previous prime (212421977) and next prime (212422051).

It is a super-2 number, since 2×2124220142 = 90246224063632392, which contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16617 + ... + 26475.

It is an arithmetic number, because the mean of its divisors is an integer number (7158360).

Almost surely, 2212422014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212422014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286334400).

212422014 is an abundant number, since it is smaller than the sum of its proper divisors (360246786).

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

212422014 is a wasteful number, since it uses less digits than its factorization.

212422014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9899 (or 9890 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 212422014 is about 14574.7045939189. The cubic root of 212422014 is about 596.6685870472.

Adding to 212422014 its reverse (410224212), we get a palindrome (622646226).

The spelling of 212422014 in words is "two hundred twelve million, four hundred twenty-two thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 81 114 126 133 162 171 189 266 342 378 399 513 567 798 1026 1134 1197 1539 2394 3078 3591 7182 9859 10773 19718 21546 29577 59154 69013 88731 138026 177462 187321 207039 266193 374642 414078 532386 561963 621117 798579 1123926 1242234 1311247 1597158 1685889 1863351 2622494 3371778 3726702 3933741 5057667 5590053 7867482 10115334 11180106 11801223 15173001 23602446 30346002 35403669 70807338 106211007 212422014