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2116212 = 223725961
BaseRepresentation
bin1000000100101001110100
310222111220020
420010221310
51020204322
6113205140
723662500
oct10045164
93874806
102116212
111215a3a
128607b0
135912c7
143d1300
152bc05c
hex204a74

2116212 has 72 divisors (see below), whose sum is σ = 5937120. Its totient is φ = 584640.

The previous prime is 2116199. The next prime is 2116291. The reversal of 2116212 is 2126112.

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 = 2116191 and 2116200.

It is a congruent number.

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, 34662 + ... + 34722.

It is an arithmetic number, because the mean of its divisors is an integer number (82460).

22116212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2116212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2968560).

2116212 is an abundant number, since it is smaller than the sum of its proper divisors (3820908).

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

2116212 is a wasteful number, since it uses less digits than its factorization.

2116212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 132 counting only the distinct ones).

The product of its digits is 48, while the sum is 15.

The square root of 2116212 is about 1454.7205917289. The cubic root of 2116212 is about 128.3866078170.

The spelling of 2116212 in words is "two million, one hundred sixteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 59 61 84 98 118 122 147 177 183 196 236 244 294 354 366 413 427 588 708 732 826 854 1239 1281 1652 1708 2478 2562 2891 2989 3599 4956 5124 5782 5978 7198 8673 8967 10797 11564 11956 14396 17346 17934 21594 25193 34692 35868 43188 50386 75579 100772 151158 176351 302316 352702 529053 705404 1058106 2116212