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2212118328 = 2337210931721
BaseRepresentation
bin1000001111011010…
…0011111100111000
312201011111020212110
42003312203330320
514012300241303
61003301212320
7105550460400
oct20366437470
95634436773
102212118328
11a35757272
12518a010a0
132933b5474
1416db13800
15ce312703
hex83da3f38

2212118328 has 96 divisors (see below), whose sum is σ = 6442828560. Its totient is φ = 631088640.

The previous prime is 2212118291. The next prime is 2212118333. The reversal of 2212118328 is 8238112122.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2212118295 and 2212118304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1284508 + ... + 1286228.

Almost surely, 22212118328 is an apocalyptic number.

2212118328 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 2212118328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3221414280).

2212118328 is an abundant number, since it is smaller than the sum of its proper divisors (4230710232).

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

2212118328 is a wasteful number, since it uses less digits than its factorization.

2212118328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2837 (or 2826 counting only the distinct ones).

The product of its digits is 3072, while the sum is 30.

The square root of 2212118328 is about 47033.1620029953. The cubic root of 2212118328 is about 1302.9751048905.

The spelling of 2212118328 in words is "two billion, two hundred twelve million, one hundred eighteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1093 1176 1721 2186 3279 3442 4372 5163 6558 6884 7651 8744 10326 12047 13116 13768 15302 20652 22953 24094 26232 30604 36141 41304 45906 48188 53557 61208 72282 84329 91812 96376 107114 144564 160671 168658 183624 214228 252987 289128 321342 337316 428456 505974 642684 674632 1011948 1285368 1881053 2023896 3762106 5643159 7524212 11286318 13167371 15048424 22572636 26334742 39502113 45145272 52669484 79004226 92171597 105338968 158008452 184343194 276514791 316016904 368686388 553029582 737372776 1106059164 2212118328