Search a number
-
+
218122434 = 23285914107
BaseRepresentation
bin11010000000001…
…00100011000010
3120012102202201200
431000010203002
5421314404214
633351042030
75256003315
oct1500044302
9505382650
10218122434
11102140682
1261070316
1336260c3a
1420d7c97c
1514238d09
hexd0048c2

218122434 has 24 divisors (see below), whose sum is σ = 473182320. Its totient is φ = 72617688.

The previous prime is 218122403. The next prime is 218122439. The reversal of 218122434 is 434221812.

218122434 is a `hidden beast` number, since 218 + 12 + 2 + 434 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 218122398 and 218122407.

It is not an unprimeable number, because it can be changed into a prime (218122439) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8409 + ... + 22515.

It is an arithmetic number, because the mean of its divisors is an integer number (19715930).

Almost surely, 2218122434 is an apocalyptic number.

218122434 is an abundant number, since it is smaller than the sum of its proper divisors (255059886).

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

218122434 is a wasteful number, since it uses less digits than its factorization.

218122434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14974 (or 14971 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 218122434 is about 14768.9686166638. The cubic root of 218122434 is about 601.9588147819.

The spelling of 218122434 in words is "two hundred eighteen million, one hundred twenty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 859 1718 2577 5154 7731 14107 15462 28214 42321 84642 126963 253926 12117913 24235826 36353739 72707478 109061217 218122434