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214787412 = 223277910789
BaseRepresentation
bin11001100110101…
…10010101010100
3112222011022221100
430303112111110
5414441144122
633151350100
75215443240
oct1463262524
9488138840
10214787412
11100272a64
125bb22330
1335663c58
1420751420
1513ccaaac
hexccd6554

214787412 has 72 divisors (see below), whose sum is σ = 628409600. Its totient is φ = 60585408.

The previous prime is 214787411. The next prime is 214787423.

214787412 is nontrivially palindromic in base 10.

214787412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2147874122 = 92267264707315488, which contains 22 as substring.

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

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214787411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14514 + ... + 25302.

Almost surely, 2214787412 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 214787412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314204800).

214787412 is an abundant number, since it is smaller than the sum of its proper divisors (413622188).

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

214787412 is a wasteful number, since it uses less digits than its factorization.

214787412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10885 (or 10880 counting only the distinct ones).

The product of its digits is 25088, while the sum is 36.

The square root of 214787412 is about 14655.6273151305. The cubic root of 214787412 is about 598.8751257478.

The spelling of 214787412 in words is "two hundred fourteen million, seven hundred eighty-seven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 79 84 126 158 237 252 316 474 553 711 948 1106 1422 1659 2212 2844 3318 4977 6636 9954 10789 19908 21578 32367 43156 64734 75523 97101 129468 151046 194202 226569 302092 388404 453138 679707 852331 906276 1359414 1704662 2556993 2718828 3409324 5113986 5966317 7670979 10227972 11932634 15341958 17898951 23865268 30683916 35797902 53696853 71595804 107393706 214787412