Search a number
-
+
218303210322 = 234367092
BaseRepresentation
bin1100101101001111100…
…0101010001101010010
3202212110221000002220000
43023103320222031102
512034041110212242
6244142003230430
721525520446141
oct3132370521522
9685427002800
10218303210322
118464451aaaa
1236385378416
1317780302842
14a7cccb9758
155a2a272a4c
hex32d3e2a352

218303210322 has 30 divisors (see below), whose sum is σ = 489174222933. Its totient is φ = 72765754488.

The previous prime is 218303210311. The next prime is 218303210339. The reversal of 218303210322 is 223012303812.

It is a happy number.

218303210322 is a `hidden beast` number, since 2 + 18 + 3 + 0 + 321 + 0 + 322 = 666.

218303210322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 217686631761 + 616578561 = 466569^2 + 24831^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=330381.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 5928504 + ... + 5965212.

Almost surely, 2218303210322 is an apocalyptic number.

218303210322 is an abundant number, since it is smaller than the sum of its proper divisors (270871012611).

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

218303210322 is an frugal number, since it uses more digits than its factorization.

218303210322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73432 (or 36714 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 218303210322 in words is "two hundred eighteen billion, three hundred three million, two hundred ten thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 36709 73418 110127 220254 330381 660762 991143 1982286 2973429 5946858 1347550681 2695101362 4042652043 8085304086 12127956129 24255912258 36383868387 72767736774 109151605161 218303210322