Search a number
-
+
214022032 = 2471910911
BaseRepresentation
bin11001100000110…
…11011110010000
3112220201110000221
430300123132100
5414242201112
633123122424
75206104640
oct1460333620
9486643027
10214022032
11aa89aa14
125b813414
1335456773
14205d2520
1513bc8e07
hexcc1b790

214022032 has 20 divisors (see below), whose sum is σ = 473906176. Its totient is φ = 91723680.

The previous prime is 214021999. The next prime is 214022071. The reversal of 214022032 is 230220412.

214022032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 214021997 and 214022015.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 955344 + ... + 955567.

Almost surely, 2214022032 is an apocalyptic number.

It is an amenable number.

214022032 is an abundant number, since it is smaller than the sum of its proper divisors (259884144).

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

214022032 is a wasteful number, since it uses less digits than its factorization.

214022032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1910926 (or 1910920 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 214022032 is about 14629.4918572041. The cubic root of 214022032 is about 598.1629291733.

Adding to 214022032 its reverse (230220412), we get a palindrome (444242444).

The spelling of 214022032 in words is "two hundred fourteen million, twenty-two thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 1910911 3821822 7643644 13376377 15287288 26752754 30574576 53505508 107011016 214022032