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22442345442 = 23211972834129
BaseRepresentation
bin10100111001101010…
…110000001111100010
32010221001020021100100
4110321222300033202
5331430220023232
614150533203230
71423066534356
oct247152601742
963831207310
1022442345442
119577134330
124423a90516
13216869b85a
14112c809466
158b53a8c7c
hex539ab03e2

22442345442 has 96 divisors (see below), whose sum is σ = 53794802880. Its totient is φ = 6705192960.

The previous prime is 22442345389. The next prime is 22442345459. The reversal of 22442345442 is 24454324422.

It is a happy number.

22442345442 is a `hidden beast` number, since 224 + 423 + 4 + 5 + 4 + 4 + 2 = 666.

It is a super-3 number, since 3×224423454423 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22442345397 and 22442345406.

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 47 ways as a sum of consecutive naturals, for example, 5433234 + ... + 5437362.

It is an arithmetic number, because the mean of its divisors is an integer number (560362530).

Almost surely, 222442345442 is an apocalyptic number.

22442345442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22442345442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26897401440).

22442345442 is an abundant number, since it is smaller than the sum of its proper divisors (31352457438).

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

22442345442 is a wasteful number, since it uses less digits than its factorization.

22442345442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4528 (or 4525 counting only the distinct ones).

The product of its digits is 245760, while the sum is 36.

Adding to 22442345442 its reverse (24454324422), we get a palindrome (46896669864).

The spelling of 22442345442 in words is "twenty-two billion, four hundred forty-two million, three hundred forty-five thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 97 99 194 198 283 291 566 582 849 873 1067 1698 1746 2134 2547 3113 3201 4129 5094 6226 6402 8258 9339 9603 12387 18678 19206 24774 27451 28017 37161 45419 54902 56034 74322 82353 90838 136257 164706 247059 272514 301961 400513 408771 494118 603922 801026 817542 905883 1168507 1201539 1811766 2337014 2403078 2717649 3505521 3604617 4405643 5435298 7011042 7209234 8811286 10516563 12853577 13216929 21033126 25707154 26433858 38560731 39650787 77121462 79301574 113345179 115682193 226690358 231364386 340035537 680071074 1020106611 1246796969 2040213222 2493593938 3740390907 7480781814 11221172721 22442345442