Search a number
-
+
214207110 = 232513223821
BaseRepresentation
bin11001100010010…
…00101010000110
3112221001211220200
430301020222012
5414314111420
633131111330
75210505345
oct1461105206
9487054820
10214207110
11aaa06a77
125b8a2546
13354bca90
142063db5c
1513c13b90
hexcc48a86

214207110 has 96 divisors (see below), whose sum is σ = 603203328. Its totient is φ = 52427520.

The previous prime is 214207099. The next prime is 214207177. The reversal of 214207110 is 11702412.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 260500 + ... + 261320.

It is an arithmetic number, because the mean of its divisors is an integer number (6283368).

Almost surely, 2214207110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214207110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301601664).

214207110 is an abundant number, since it is smaller than the sum of its proper divisors (388996218).

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

214207110 is a wasteful number, since it uses less digits than its factorization.

214207110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1067 counting only the distinct ones).

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

The square root of 214207110 is about 14635.8160004832. The cubic root of 214207110 is about 598.3353022405.

Adding to 214207110 its reverse (11702412), we get a palindrome (225909522).

The spelling of 214207110 in words is "two hundred fourteen million, two hundred seven thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 223 234 390 446 585 669 821 1115 1170 1338 1642 2007 2230 2463 2899 3345 4014 4105 4926 5798 6690 7389 8210 8697 10035 10673 12315 14495 14778 17394 20070 21346 24630 26091 28990 32019 36945 43485 52182 53365 64038 73890 86970 96057 106730 130455 160095 183083 192114 260910 320190 366166 480285 549249 915415 960570 1098498 1647747 1830830 2380079 2746245 3295494 4760158 5492490 7140237 8238735 11900395 14280474 16477470 21420711 23800790 35701185 42841422 71402370 107103555 214207110