Search a number
-
+
214037232 = 24313134039
BaseRepresentation
bin11001100000111…
…11001011110000
3112220202012212220
430300133023300
5414243142412
633123321040
75206200153
oct1460371360
9486665786
10214037232
11aa900382
125b820180
1335460666
14205d7c9a
1513bcd68c
hexcc1f2f0

214037232 has 40 divisors (see below), whose sum is σ = 557166720. Its totient is φ = 70799040.

The previous prime is 214037209. The next prime is 214037233. The reversal of 214037232 is 232730412.

214037232 is digitally balanced in base 2, 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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214037233) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10732 + ... + 23307.

It is an arithmetic number, because the mean of its divisors is an integer number (13929168).

Almost surely, 2214037232 is an apocalyptic number.

It is an amenable number.

214037232 is an abundant number, since it is smaller than the sum of its proper divisors (343129488).

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

214037232 is a wasteful number, since it uses less digits than its factorization.

214037232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34181 (or 34175 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 214037232 is about 14630.0113465438. The cubic root of 214037232 is about 598.1770894932.

Adding to 214037232 its reverse (232730412), we get a palindrome (446767644).

The spelling of 214037232 in words is "two hundred fourteen million, thirty-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 131 262 393 524 786 1048 1572 2096 3144 6288 34039 68078 102117 136156 204234 272312 408468 544624 816936 1633872 4459109 8918218 13377327 17836436 26754654 35672872 53509308 71345744 107018616 214037232