Search a number
-
+
214022214 = 232717412437
BaseRepresentation
bin11001100000110…
…11100001000110
3112220201110021200
430300123201012
5414242202324
633123123330
75206105320
oct1460334106
9486643250
10214022214
11aa8a006a
125b813546
1335456883
14205d2610
1513bc8ec9
hexcc1b846

214022214 has 96 divisors (see below), whose sum is σ = 575055936. Its totient is φ = 56125440.

The previous prime is 214022209. The next prime is 214022273. The reversal of 214022214 is 412220412.

214022214 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86604 + ... + 89040.

It is an arithmetic number, because the mean of its divisors is an integer number (5990166).

Almost surely, 2214022214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214022214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287527968).

214022214 is an abundant number, since it is smaller than the sum of its proper divisors (361033722).

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

214022214 is a wasteful number, since it uses less digits than its factorization.

214022214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2510 (or 2507 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 214022214 is about 14629.4980775145. The cubic root of 214022214 is about 598.1630987285.

Adding to 214022214 its reverse (412220412), we get a palindrome (626242626).

The spelling of 214022214 in words is "two hundred fourteen million, twenty-two thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 41 42 51 63 82 102 119 123 126 153 238 246 287 306 357 369 574 697 714 738 861 1071 1394 1722 2091 2142 2437 2583 4182 4874 4879 5166 6273 7311 9758 12546 14622 14637 17059 21933 29274 34118 41429 43866 43911 51177 82858 87822 99917 102354 124287 153531 199834 248574 290003 299751 307062 372861 580006 599502 699419 745722 870009 899253 1398838 1698589 1740018 1798506 2098257 2610027 3397178 4196514 5095767 5220054 6294771 10191534 11890123 12589542 15287301 23780246 30574602 35670369 71340738 107011107 214022214