[go: up one dir, main page]

Search a number
-
+
22181808 = 2431143977
BaseRepresentation
bin101010010011…
…1011110110000
31112201221201110
41110213132300
521134304213
62111233320
7356353665
oct124473660
945657643
1022181808
1111580580
127518840
13479853c
142d35a6c
151e325c3
hex15277b0

22181808 has 80 divisors (see below), whose sum is σ = 64031616. Its totient is φ = 6558720.

The previous prime is 22181801. The next prime is 22181813. The reversal of 22181808 is 80818122.

It is a super-2 number, since 2×221818082 = 984065212297728, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22181801) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 22216 + ... + 23192.

Almost surely, 222181808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22181808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32015808).

22181808 is an abundant number, since it is smaller than the sum of its proper divisors (41849808).

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

22181808 is a wasteful number, since it uses less digits than its factorization.

22181808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 30.

The square root of 22181808 is about 4709.7566816132. The cubic root of 22181808 is about 280.9736849679.

The spelling of 22181808 in words is "twenty-two million, one hundred eighty-one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 43 44 48 66 86 88 129 132 172 176 258 264 344 473 516 528 688 946 977 1032 1419 1892 1954 2064 2838 2931 3784 3908 5676 5862 7568 7816 10747 11352 11724 15632 21494 22704 23448 32241 42011 42988 46896 64482 84022 85976 126033 128964 168044 171952 252066 257928 336088 462121 504132 515856 672176 924242 1008264 1386363 1848484 2016528 2772726 3696968 5545452 7393936 11090904 22181808