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212118228 = 223276113799
BaseRepresentation
bin11001010010010…
…10101011010100
3112210010201111200
430221022223110
5413300240403
633014232500
75153655330
oct1451125324
9483121450
10212118228
11a980a623
125b055730
1334c3b05a
14202587c0
151394eca3
hexca4aad4

212118228 has 72 divisors (see below), whose sum is σ = 622876800. Its totient is φ = 59607360.

The previous prime is 212118227. The next prime is 212118253. The reversal of 212118228 is 822811212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212118227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8473 + ... + 22271.

Almost surely, 2212118228 is an apocalyptic number.

212118228 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 212118228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311438400).

212118228 is an abundant number, since it is smaller than the sum of its proper divisors (410758572).

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

212118228 is a wasteful number, since it uses less digits than its factorization.

212118228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13877 (or 13872 counting only the distinct ones).

The product of its digits is 1024, while the sum is 27.

The square root of 212118228 is about 14564.2791788677. The cubic root of 212118228 is about 596.3840182377.

The spelling of 212118228 in words is "two hundred twelve million, one hundred eighteen thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 61 63 84 122 126 183 244 252 366 427 549 732 854 1098 1281 1708 2196 2562 3843 5124 7686 13799 15372 27598 41397 55196 82794 96593 124191 165588 193186 248382 289779 386372 496764 579558 841739 869337 1159116 1683478 1738674 2525217 3366956 3477348 5050434 5892173 7575651 10100868 11784346 15151302 17676519 23568692 30302604 35353038 53029557 70706076 106059114 212118228