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212412420 = 2232511107279
BaseRepresentation
bin11001010100100…
…10100000000100
3112210200200001200
430222102200010
5413334144140
633024422500
75156322123
oct1452224004
9483620050
10212412420
11a99a0660
125b177a30
1335011c2c
14202d3aba
15139ac030
hexca92804

212412420 has 72 divisors (see below), whose sum is σ = 702898560. Its totient is φ = 51493440.

The previous prime is 212412413. The next prime is 212412451. The reversal of 212412420 is 24214212.

212412420 is a `hidden beast` number, since 2 + 1 + 241 + 2 + 420 = 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 = 212412393 and 212412402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51660 + ... + 55619.

It is an arithmetic number, because the mean of its divisors is an integer number (9762480).

Almost surely, 2212412420 is an apocalyptic number.

212412420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212412420 is an abundant number, since it is smaller than the sum of its proper divisors (490486140).

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

212412420 is a wasteful number, since it uses less digits than its factorization.

212412420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107305 (or 107300 counting only the distinct ones).

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

The square root of 212412420 is about 14574.3754583172. The cubic root of 212412420 is about 596.6596041041.

Adding to 212412420 its reverse (24214212), we get a palindrome (236626632).

The spelling of 212412420 in words is "two hundred twelve million, four hundred twelve thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 107279 214558 321837 429116 536395 643674 965511 1072790 1180069 1287348 1609185 1931022 2145580 2360138 3218370 3540207 3862044 4720276 4827555 5900345 6436740 7080414 9655110 10620621 11800690 14160828 17701035 19310220 21241242 23601380 35402070 42482484 53103105 70804140 106206210 212412420