Search a number
-
+
216459906 = 231310932539
BaseRepresentation
bin11001110011011…
…10101010000010
3120002022022011120
430321232222002
5420403204111
633251253110
75235610305
oct1471565202
9502268146
10216459906
11101205593
12605aa196
1335acb2b0
1420a68b3c
151400b406
hexce6ea82

216459906 has 32 divisors (see below), whose sum is σ = 466831680. Its totient is φ = 66515904.

The previous prime is 216459871. The next prime is 216459907. The reversal of 216459906 is 609954612.

It is a happy number.

216459906 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (216459907) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83985 + ... + 86523.

It is an arithmetic number, because the mean of its divisors is an integer number (14588490).

Almost surely, 2216459906 is an apocalyptic number.

216459906 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

216459906 is an abundant number, since it is smaller than the sum of its proper divisors (250371774).

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

216459906 is a wasteful number, since it uses less digits than its factorization.

216459906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3650.

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 216459906 is about 14712.5764568956. The cubic root of 216459906 is about 600.4255370146.

The spelling of 216459906 in words is "two hundred sixteen million, four hundred fifty-nine thousand, nine hundred six".

Divisors: 1 2 3 6 13 26 39 78 1093 2186 2539 3279 5078 6558 7617 14209 15234 28418 33007 42627 66014 85254 99021 198042 2775127 5550254 8325381 16650762 36076651 72153302 108229953 216459906