Search a number
-
+
214221432 = 23361314561
BaseRepresentation
bin11001100010011…
…00001001111000
3112221002120120010
430301030021320
5414320041212
633131301520
75210565165
oct1461141170
9487076503
10214221432
11aaa16807
125b8aa8a0
13354c6459
142064506c
1513c1803c
hexcc4c278

214221432 has 32 divisors (see below), whose sum is σ = 536464080. Its totient is φ = 71285760.

The previous prime is 214221419. The next prime is 214221443. The reversal of 214221432 is 234122412.

214221432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 214221399 and 214221408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7432 + ... + 21992.

Almost surely, 2214221432 is an apocalyptic number.

It is an amenable number.

214221432 is an abundant number, since it is smaller than the sum of its proper divisors (322242648).

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

214221432 is a wasteful number, since it uses less digits than its factorization.

214221432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15183 (or 15179 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 214221432 is about 14636.3052714816. The cubic root of 214221432 is about 598.3486369476.

Adding to 214221432 its reverse (234122412), we get a palindrome (448343844).

The spelling of 214221432 in words is "two hundred fourteen million, two hundred twenty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 613 1226 1839 2452 3678 4904 7356 14561 14712 29122 43683 58244 87366 116488 174732 349464 8925893 17851786 26777679 35703572 53555358 71407144 107110716 214221432