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22451444442 = 23272572772503
BaseRepresentation
bin10100111010001101…
…011101101011011010
32010221200100112211100
4110322031131223122
5331440032210232
614151500212230
71423240062150
oct247215355332
963850315740
1022451444442
119581289569
124426b3a076
13216a53628b
14112dad73d0
158b60a4c7c
hex53a35dada

22451444442 has 96 divisors (see below), whose sum is σ = 56034231552. Its totient is φ = 6364127232.

The previous prime is 22451444423. The next prime is 22451444539. The reversal of 22451444442 is 24444415422.

It is a junction number, because it is equal to n+sod(n) for n = 22451444397 and 22451444406.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8968563 + ... + 8971065.

It is an arithmetic number, because the mean of its divisors is an integer number (583689912).

Almost surely, 222451444442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22451444442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28017115776).

22451444442 is an abundant number, since it is smaller than the sum of its proper divisors (33582787110).

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

22451444442 is a wasteful number, since it uses less digits than its factorization.

22451444442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3052 (or 3049 counting only the distinct ones).

The product of its digits is 163840, while the sum is 36.

Adding to 22451444442 its reverse (24444415422), we get a palindrome (46895859864).

The spelling of 22451444442 in words is "twenty-two billion, four hundred fifty-one million, four hundred forty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 257 277 514 554 771 831 1542 1662 1799 1939 2313 2493 2503 3598 3878 4626 4986 5006 5397 5817 7509 10794 11634 15018 16191 17451 17521 22527 32382 34902 35042 45054 52563 71189 105126 142378 157689 213567 315378 427134 498323 640701 643271 693331 996646 1281402 1286542 1386662 1494969 1929813 2079993 2989938 3859626 4159986 4484907 4502897 4853317 5789439 6239979 8969814 9005794 9706634 11578878 12479958 13508691 14559951 27017382 29119902 40526073 43679853 81052146 87359706 178186067 356372134 534558201 1069116402 1247302469 1603674603 2494604938 3207349206 3741907407 7483814814 11225722221 22451444442