Search a number
-
+
22424292 = 223211173331
BaseRepresentation
bin101010110001…
…0101011100100
31120012021100100
41111202223210
521220034132
62120344100
7361413642
oct125425344
946167310
1022424292
1111726780
127615030
134851a17
142d9a192
151e7e37c
hex1562ae4

22424292 has 72 divisors (see below), whose sum is σ = 65493792. Its totient is φ = 6393600.

The previous prime is 22424291. The next prime is 22424299. The reversal of 22424292 is 29242422.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (22424291) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5067 + ... + 8397.

It is an arithmetic number, because the mean of its divisors is an integer number (909636).

Almost surely, 222424292 is an apocalyptic number.

22424292 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22424292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32746896).

22424292 is an abundant number, since it is smaller than the sum of its proper divisors (43069500).

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

22424292 is a wasteful number, since it uses less digits than its factorization.

22424292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3369 (or 3364 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 22424292 is about 4735.4294419831. The cubic root of 22424292 is about 281.9938130527.

The spelling of 22424292 in words is "twenty-two million, four hundred twenty-four thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 306 374 396 561 612 748 1122 1683 2244 3331 3366 6662 6732 9993 13324 19986 29979 36641 39972 56627 59958 73282 109923 113254 119916 146564 169881 219846 226508 329769 339762 439692 509643 622897 659538 679524 1019286 1245794 1319076 1868691 2038572 2491588 3737382 5606073 7474764 11212146 22424292