Search a number
-
+
22428349218 = 23211232092
BaseRepresentation
bin10100111000110101…
…010111001100100010
32010220001220012010200
4110320311113030202
5331413124133333
614145313210030
71422536552142
oct247065271442
963801805120
1022428349218
11956a244800
12441b260916
13216580b072
14112aa04922
158b4041c13
hex538d57322

22428349218 has 54 divisors (see below), whose sum is σ = 53430721617. Its totient is φ = 6794351520.

The previous prime is 22428349183. The next prime is 22428349241. The reversal of 22428349218 is 81294382422.

22428349218 is a `hidden beast` number, since 2 + 2 + 428 + 3 + 4 + 9 + 218 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22337394849 + 90954369 = 149457^2 + 9537^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=105897.

It is a super-2 number, since 2×224283492182 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6987598 + ... + 6990806.

Almost surely, 222428349218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22428349218

22428349218 is an abundant number, since it is smaller than the sum of its proper divisors (31002372399).

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

22428349218 is an equidigital number, since it uses as much as digits as its factorization.

22428349218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6448 (or 3225 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The spelling of 22428349218 in words is "twenty-two billion, four hundred twenty-eight million, three hundred forty-nine thousand, two hundred eighteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 2178 3209 6418 9627 19254 28881 35299 57762 70598 105897 211794 317691 388289 635382 776578 1164867 2329734 3494601 6989202 10297681 20595362 30893043 61786086 92679129 113274491 185358258 226548982 339823473 679646946 1019470419 1246019401 2038940838 2492038802 3738058203 7476116406 11214174609 22428349218