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214071102 = 2327334673
BaseRepresentation
bin11001100001001…
…11011100111110
3112220210221100100
430300213130332
5414300233402
633124141530
75206401000
oct1460473476
9486727310
10214071102
11aa923873
125b8378a6
1335472bbb
1420606370
1513bd871c
hexcc2773e

214071102 has 48 divisors (see below), whose sum is σ = 540914400. Its totient is φ = 61161408.

The previous prime is 214071061. The next prime is 214071103. The reversal of 214071102 is 201170412.

214071102 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2140711023 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214071103) 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, 11163 + ... + 23510.

It is an arithmetic number, because the mean of its divisors is an integer number (11269050).

Almost surely, 2214071102 is an apocalyptic number.

214071102 is an abundant number, since it is smaller than the sum of its proper divisors (326843298).

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

214071102 is a wasteful number, since it uses less digits than its factorization.

214071102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34702 (or 34685 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 214071102 is about 14631.1688528292. The cubic root of 214071102 is about 598.2086403738.

The spelling of 214071102 in words is "two hundred fourteen million, seventy-one thousand, one hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 343 441 686 882 1029 2058 3087 6174 34673 69346 104019 208038 242711 312057 485422 624114 728133 1456266 1698977 2184399 3397954 4368798 5096931 10193862 11892839 15290793 23785678 30581586 35678517 71357034 107035551 214071102