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22442320242 = 2342346313009
BaseRepresentation
bin10100111001101010…
…101010000101110010
32010221001011222210000
4110321222222011302
5331430213221432
614150532450430
71423066401036
oct247152520562
963831158700
1022442320242
119577117401
124423a79a16
132168690244
14112c8001c6
158b53a157c
hex539aaa172

22442320242 has 80 divisors (see below), whose sum is σ = 52591207680. Its totient is φ = 7139518848.

The previous prime is 22442320213. The next prime is 22442320259. The reversal of 22442320242 is 24202324422.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 39 ways as a sum of consecutive naturals, for example, 1718634 + ... + 1731642.

It is an arithmetic number, because the mean of its divisors is an integer number (657390096).

Almost surely, 222442320242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22442320242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26295603840).

22442320242 is an abundant number, since it is smaller than the sum of its proper divisors (30148887438).

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

22442320242 is a wasteful number, since it uses less digits than its factorization.

22442320242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13509 (or 13500 counting only the distinct ones).

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

Adding to 22442320242 its reverse (24202324422), we get a palindrome (46644644664).

The spelling of 22442320242 in words is "twenty-two billion, four hundred forty-two million, three hundred twenty thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 414 463 621 926 1242 1389 1863 2778 3726 4167 8334 10649 12501 13009 21298 25002 26018 31947 37503 39027 63894 75006 78054 95841 117081 191682 234162 287523 299207 351243 575046 598414 702486 862569 897621 1053729 1725138 1795242 2107458 2692863 5385726 6023167 8078589 12046334 16157178 18069501 24235767 36139002 48471534 54208503 108417006 138532841 162625509 277065682 325251018 415598523 487876527 831197046 975753054 1246795569 2493591138 3740386707 7480773414 11221160121 22442320242