Search a number
-
+
214422200 = 23528312917
BaseRepresentation
bin11001100011111…
…01001010111000
3112221110202221222
430301331022320
5414343002300
633135451212
75212362416
oct1461751270
9487422858
10214422200
11100043633
125b986b08
1335566955
14206982b6
1513c57785
hexcc7d2b8

214422200 has 48 divisors (see below), whose sum is σ = 504577080. Its totient is φ = 84728960.

The previous prime is 214422199. The next prime is 214422203. The reversal of 214422200 is 2224412.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214422203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10142 + ... + 23058.

Almost surely, 2214422200 is an apocalyptic number.

214422200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214422200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252288540).

214422200 is an abundant number, since it is smaller than the sum of its proper divisors (290154880).

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

214422200 is a wasteful number, since it uses less digits than its factorization.

214422200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13016 (or 13007 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 214422200 is about 14643.1622267869. The cubic root of 214422200 is about 598.5355023937.

Adding to 214422200 its reverse (2224412), we get a palindrome (216646612).

The spelling of 214422200 in words is "two hundred fourteen million, four hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 83 100 166 200 332 415 664 830 1660 2075 3320 4150 8300 12917 16600 25834 51668 64585 103336 129170 258340 322925 516680 645850 1072111 1291700 2144222 2583400 4288444 5360555 8576888 10721110 21442220 26802775 42884440 53605550 107211100 214422200