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214108518 = 23132325189
BaseRepresentation
bin11001100001100…
…00100101100110
3112220212211200010
430300300211212
5414302433033
633125031050
75206615041
oct1460604546
9486784603
10214108518
11aa949998
125b855486
1335486c40
1420615c58
1513be4863
hexcc30966

214108518 has 48 divisors (see below), whose sum is σ = 482171760. Its totient is φ = 63003072.

The previous prime is 214108513. The next prime is 214108561. The reversal of 214108518 is 815801412.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214108513) 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, 38668 + ... + 43856.

It is an arithmetic number, because the mean of its divisors is an integer number (10045245).

Almost surely, 2214108518 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214108518, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241085880).

214108518 is an abundant number, since it is smaller than the sum of its proper divisors (268063242).

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

214108518 is a wasteful number, since it uses less digits than its factorization.

214108518 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5253 (or 5230 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 30.

The square root of 214108518 is about 14632.4474371173. The cubic root of 214108518 is about 598.2434905869.

The spelling of 214108518 in words is "two hundred fourteen million, one hundred eight thousand, five hundred eighteen".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 138 299 529 598 897 1058 1587 1794 3174 5189 6877 10378 13754 15567 20631 31134 41262 67457 119347 134914 202371 238694 358041 404742 716082 1551511 2744981 3103022 4654533 5489962 8234943 9309066 16469886 35684753 71369506 107054259 214108518