Search a number
-
+
218062116 = 223243140867
BaseRepresentation
bin11001111111101…
…01110100100100
3120012022200222200
430333311310210
5421310441431
633345454500
75255332416
oct1477656444
9505280880
10218062116
111020aa328
1261041430
133623c64c
1420d649b6
1514225ee6
hexcff5d24

218062116 has 36 divisors (see below), whose sum is σ = 564035472. Its totient is φ = 70996464.

The previous prime is 218062109. The next prime is 218062121. The reversal of 218062116 is 611260812.

218062116 is a `hidden beast` number, since 21 + 8 + 0 + 621 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 218062116.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68886 + ... + 71981.

It is an arithmetic number, because the mean of its divisors is an integer number (15667652).

Almost surely, 2218062116 is an apocalyptic number.

It is an amenable number.

218062116 is an abundant number, since it is smaller than the sum of its proper divisors (345973356).

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

218062116 is a wasteful number, since it uses less digits than its factorization.

218062116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140920 (or 140915 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 218062116 is about 14766.9264235995. The cubic root of 218062116 is about 601.9033225545.

The spelling of 218062116 in words is "two hundred eighteen million, sixty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 1548 140867 281734 422601 563468 845202 1267803 1690404 2535606 5071212 6057281 12114562 18171843 24229124 36343686 54515529 72687372 109031058 218062116