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212425668 = 2232713611063
BaseRepresentation
bin11001010100101…
…01101111000100
3112210201100020100
430222111233010
5413340110133
633025004100
75156405550
oct1452255704
9483640210
10212425668
11a99aa604
125b183630
1335017c80
14202d8860
15139b0e13
hexca95bc4

212425668 has 144 divisors (see below), whose sum is σ = 672345856. Its totient is φ = 55054080.

The previous prime is 212425657. The next prime is 212425669. The reversal of 212425668 is 866524212.

It is a happy number.

212425668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (212425669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199305 + ... + 200367.

Almost surely, 2212425668 is an apocalyptic number.

212425668 is a gapful number since it is divisible by the number (28) 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 212425668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336172928).

212425668 is an abundant number, since it is smaller than the sum of its proper divisors (459920188).

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

212425668 is a wasteful number, since it uses less digits than its factorization.

212425668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1149 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 212425668 is about 14574.8299475500. The cubic root of 212425668 is about 596.6720082471.

The spelling of 212425668 in words is "two hundred twelve million, four hundred twenty-five thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 61 63 78 84 91 117 122 126 156 182 183 234 244 252 273 364 366 427 468 546 549 732 793 819 854 1063 1092 1098 1281 1586 1638 1708 2126 2196 2379 2562 3172 3189 3276 3843 4252 4758 5124 5551 6378 7137 7441 7686 9516 9567 11102 12756 13819 14274 14882 15372 16653 19134 22204 22323 27638 28548 29764 33306 38268 41457 44646 49959 55276 64843 66612 66969 82914 89292 96733 99918 124371 129686 133938 165828 193466 194529 199836 248742 259372 267876 290199 386932 389058 453901 497484 580398 583587 778116 842959 870597 907802 1160796 1167174 1361703 1685918 1741194 1815604 2334348 2528877 2723406 3371836 3482388 4085109 5057754 5446812 5900713 7586631 8170218 10115508 11801426 15173262 16340436 17702139 23602852 30346524 35404278 53106417 70808556 106212834 212425668