Search a number
-
+
216850446 = 2342515333
BaseRepresentation
bin11001110110011…
…10000000001110
3120010001010220000
430323032000032
5421003203241
633303505130
75242125021
oct1473160016
9503033800
10216850446
11101451a4a
12607581a6
1335c06c97
1420b2b1b8
1514086eb6
hexcece00e

216850446 has 40 divisors (see below), whose sum is σ = 487932984. Its totient is φ = 71982000.

The previous prime is 216850427. The next prime is 216850471. The reversal of 216850446 is 644058612.

216850446 is a `hidden beast` number, since 2 + 168 + 50 + 446 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 216850446.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 37996 + ... + 43328.

Almost surely, 2216850446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216850446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243966492).

216850446 is an abundant number, since it is smaller than the sum of its proper divisors (271082538).

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

216850446 is a wasteful number, since it uses less digits than its factorization.

216850446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5598 (or 5589 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 216850446 is about 14725.8427942172. The cubic root of 216850446 is about 600.7864187921.

The spelling of 216850446 in words is "two hundred sixteen million, eight hundred fifty thousand, four hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 251 502 753 1506 2259 4518 5333 6777 10666 13554 15999 20331 31998 40662 47997 95994 143991 287982 431973 863946 1338583 2677166 4015749 8031498 12047247 24094494 36141741 72283482 108425223 216850446