Search a number
-
+
216456132 = 223195916091
BaseRepresentation
bin11001110011011…
…01101111000100
3120002022002222210
430321231233010
5420403044012
633251223420
75235563304
oct1471555704
9502262883
10216456132
11101202772
12605a7b70
1335ac9669
1420a67604
151400a23c
hexce6dbc4

216456132 has 48 divisors (see below), whose sum is σ = 540691200. Its totient is φ = 67191840.

The previous prime is 216456061. The next prime is 216456143. The reversal of 216456132 is 231654612.

It is a self number, because there is not a number n which added to its sum of digits gives 216456132.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5407 + ... + 21497.

It is an arithmetic number, because the mean of its divisors is an integer number (11264400).

Almost surely, 2216456132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216456132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270345600).

216456132 is an abundant number, since it is smaller than the sum of its proper divisors (324235068).

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

216456132 is a wasteful number, since it uses less digits than its factorization.

216456132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16176 (or 16174 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 216456132 is about 14712.4481987193. The cubic root of 216456132 is about 600.4220475013.

The spelling of 216456132 in words is "two hundred sixteen million, four hundred fifty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 38 57 59 76 114 118 177 228 236 354 708 1121 2242 3363 4484 6726 13452 16091 32182 48273 64364 96546 193092 305729 611458 917187 949369 1222916 1834374 1898738 2848107 3668748 3797476 5696214 11392428 18038011 36076022 54114033 72152044 108228066 216456132