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22232240442 = 23219577112663
BaseRepresentation
bin10100101101001001…
…010001000100111010
32010101101212211110200
4110231021101010322
5331012423143232
614114030023030
71414635632346
oct245511210472
963341784420
1022232240442
11947957a335
124385647a76
132133cb6c79
14110c956626
158a1c0577c
hex52d25113a

22232240442 has 48 divisors (see below), whose sum is σ = 50793437760. Its totient is φ = 7008477696.

The previous prime is 22232240441. The next prime is 22232240489. The reversal of 22232240442 is 24404223222.

22232240442 is a `hidden beast` number, since 22 + 232 + 2 + 404 + 4 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (22232240441) 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, 141003 + ... + 253665.

It is an arithmetic number, because the mean of its divisors is an integer number (1058196620).

Almost surely, 222232240442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22232240442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25396718880).

22232240442 is an abundant number, since it is smaller than the sum of its proper divisors (28561197318).

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

22232240442 is a wasteful number, since it uses less digits than its factorization.

22232240442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113267 (or 113264 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 22232240442 its reverse (24404223222), we get a palindrome (46636463664).

The spelling of 22232240442 in words is "twenty-two billion, two hundred thirty-two million, two hundred forty thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 577 1154 1731 3462 5193 10386 10963 21926 32889 65778 98667 112663 197334 225326 337989 675978 1013967 2027934 2140597 4281194 6421791 12843582 19265373 38530746 65006551 130013102 195019653 390039306 585058959 1170117918 1235124469 2470248938 3705373407 7410746814 11116120221 22232240442