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210214112 = 25172353317
BaseRepresentation
bin11001000011110…
…01110011100000
3112122112222112212
430201321303200
5412303322422
632505341252
75131535063
oct1441716340
9478488485
10210214112
11a8729a79
125a497828
1334722464
141dcc08da
15136c59e2
hexc879ce0

210214112 has 96 divisors (see below), whose sum is σ = 467353152. Its totient is φ = 92545024.

The previous prime is 210214111. The next prime is 210214153. The reversal of 210214112 is 211412012.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210214111) 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 15 ways as a sum of consecutive naturals, for example, 662978 + ... + 663294.

It is an arithmetic number, because the mean of its divisors is an integer number (4868262).

Almost surely, 2210214112 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 210214112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233676576).

210214112 is an abundant number, since it is smaller than the sum of its proper divisors (257139040).

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

210214112 is a wasteful number, since it uses less digits than its factorization.

210214112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 210214112 is about 14498.7624299455. The cubic root of 210214112 is about 594.5941369801.

Adding to 210214112 its reverse (211412012), we get a palindrome (421626124).

The spelling of 210214112 in words is "two hundred ten million, two hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 23 32 34 46 53 68 92 106 136 184 212 272 317 368 391 424 544 634 736 782 848 901 1219 1268 1564 1696 1802 2438 2536 3128 3604 4876 5072 5389 6256 7208 7291 9752 10144 10778 12512 14416 14582 16801 19504 20723 21556 28832 29164 33602 39008 41446 43112 58328 67204 82892 86224 116656 123947 134408 165784 172448 233312 247894 268816 285617 331568 386423 495788 537632 571234 663136 772846 991576 1142468 1545692 1983152 2284936 3091384 3966304 4569872 6182768 6569191 9139744 12365536 13138382 26276764 52553528 105107056 210214112