Search a number
-
+
214245140 = 225194611223
BaseRepresentation
bin11001100010100…
…01111100010100
3112221010210002012
430301101330110
5414321321030
633132003352
75211024254
oct1461217424
9487123065
10214245140
11aaa325aa
125b900558
1335504195
142064d964
1513c20095
hexcc51f14

214245140 has 48 divisors (see below), whose sum is σ = 475009920. Its totient is φ = 80945280.

The previous prime is 214245113. The next prime is 214245149. The reversal of 214245140 is 41542412.

214245140 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

214245140 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214245149) 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, 174569 + ... + 175791.

It is an arithmetic number, because the mean of its divisors is an integer number (9896040).

Almost surely, 2214245140 is an apocalyptic number.

214245140 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 214245140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237504960).

214245140 is an abundant number, since it is smaller than the sum of its proper divisors (260764780).

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

214245140 is a wasteful number, since it uses less digits than its factorization.

214245140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712 (or 1710 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 214245140 is about 14637.1151529255. The cubic root of 214245140 is about 598.3707093208.

Adding to 214245140 its reverse (41542412), we get a palindrome (255787552).

The spelling of 214245140 in words is "two hundred fourteen million, two hundred forty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 461 922 1223 1844 2305 2446 4610 4892 6115 8759 9220 12230 17518 23237 24460 35036 43795 46474 87590 92948 116185 175180 232370 464740 563803 1127606 2255212 2819015 5638030 10712257 11276060 21424514 42849028 53561285 107122570 214245140