Search a number
-
+
22123818 = 23273113149
BaseRepresentation
bin101010001100…
…1010100101010
31112122000011200
41110121110222
521130430233
62110105030
7356022633
oct124312452
945560150
1022123818
1111540a52
1274ab176
134778022
142d1c88a
151e20313
hex151952a

22123818 has 48 divisors (see below), whose sum is σ = 49350600. Its totient is φ = 7160832.

The previous prime is 22123807. The next prime is 22123819. The reversal of 22123818 is 81832122.

It can be written as a sum of positive squares in 4 ways, for example, as 8485569 + 13638249 = 2913^2 + 3693^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22123791 and 22123800.

It is not an unprimeable number, because it can be changed into a prime (22123819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148408 + ... + 148556.

Almost surely, 222123818 is an apocalyptic number.

22123818 is an abundant number, since it is smaller than the sum of its proper divisors (27226782).

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

22123818 is a wasteful number, since it uses less digits than its factorization.

22123818 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 340 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 22123818 is about 4703.5962836961. The cubic root of 22123818 is about 280.7286210321.

The spelling of 22123818 in words is "twenty-two million, one hundred twenty-three thousand, eight hundred eighteen".

Divisors: 1 2 3 6 9 18 73 113 146 149 219 226 298 339 438 447 657 678 894 1017 1314 1341 2034 2682 8249 10877 16498 16837 21754 24747 32631 33674 49494 50511 65262 74241 97893 101022 148482 151533 195786 303066 1229101 2458202 3687303 7374606 11061909 22123818