Search a number
-
+
214234512 = 24323414733
BaseRepresentation
bin11001100010011…
…11010110010000
3112221010020111120
430301033112100
5414321001022
633131442240
75210651262
oct1461172620
9487106446
10214234512
11aaa25618
125b8b6380
13354cc3ab
1420649b32
1513c1bd5c
hexcc4f590

214234512 has 80 divisors (see below), whose sum is σ = 591712128. Its totient is φ = 66626560.

The previous prime is 214234511. The next prime is 214234529. The reversal of 214234512 is 215432412.

It is a super-2 number, since 2×2142345122 = 91792852263756288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (214234511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42898 + ... + 47630.

Almost surely, 2214234512 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 214234512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295856064).

214234512 is an abundant number, since it is smaller than the sum of its proper divisors (377477616).

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

214234512 is a wasteful number, since it uses less digits than its factorization.

214234512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4808 (or 4802 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 214234512 is about 14636.7520987410. The cubic root of 214234512 is about 598.3608147532.

Adding to 214234512 its reverse (215432412), we get a palindrome (429666924).

The spelling of 214234512 in words is "two hundred fourteen million, two hundred thirty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 41 46 48 69 82 92 123 138 164 184 246 276 328 368 492 552 656 943 984 1104 1886 1968 2829 3772 4733 5658 7544 9466 11316 14199 15088 18932 22632 28398 37864 45264 56796 75728 108859 113592 194053 217718 227184 326577 388106 435436 582159 653154 776212 870872 1164318 1306308 1552424 1741744 2328636 2612616 3104848 4463219 4657272 5225232 8926438 9314544 13389657 17852876 26779314 35705752 53558628 71411504 107117256 214234512