Search a number
-
+
214732116 = 22327184011
BaseRepresentation
bin11001100110010…
…00110101010100
3112222001112002100
430303020311110
5414432411431
633150242100
75215123104
oct1463106524
9488045070
10214732116
11100235465
125bab6330
1335644a31
1420739204
1513cb94e6
hexccc8d54

214732116 has 36 divisors (see below), whose sum is σ = 550446624. Its totient is φ = 70568400.

The previous prime is 214732103. The next prime is 214732121. The reversal of 214732116 is 611237412.

214732116 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×2147321162 = 92219763283674912, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 214732116.

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 11 ways as a sum of consecutive naturals, for example, 39450 + ... + 44561.

It is an arithmetic number, because the mean of its divisors is an integer number (15290184).

Almost surely, 2214732116 is an apocalyptic number.

It is an amenable number.

214732116 is an abundant number, since it is smaller than the sum of its proper divisors (335714508).

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

214732116 is a wasteful number, since it uses less digits than its factorization.

214732116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84092 (or 84087 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 214732116 is about 14653.7406828427. The cubic root of 214732116 is about 598.8237288171.

Adding to 214732116 its reverse (611237412), we get a palindrome (825969528).

The spelling of 214732116 in words is "two hundred fourteen million, seven hundred thirty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 426 639 852 1278 2556 84011 168022 252033 336044 504066 756099 1008132 1512198 3024396 5964781 11929562 17894343 23859124 35788686 53683029 71577372 107366058 214732116