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22769301024 = 2532831019431
BaseRepresentation
bin10101001101001001…
…111111011000100000
32011202211110100002100
4111031021333120200
5333112420113044
614243213050400
71434146602551
oct251511773040
964684410070
1022769301024
119724749958
1244b5486a00
1321bb3469b2
14115ddd8328
158d3e3e869
hex54d27f620

22769301024 has 144 divisors (see below), whose sum is σ = 66186154944. Its totient is φ = 7423296000.

The previous prime is 22769301013. The next prime is 22769301041. The reversal of 22769301024 is 42010396722.

It is a Cunningham number, because it is equal to 1508952-1.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 22769301024.

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 23 ways as a sum of consecutive naturals, for example, 2409589 + ... + 2419019.

It is an arithmetic number, because the mean of its divisors is an integer number (459626076).

Almost surely, 222769301024 is an apocalyptic number.

22769301024 is a gapful number since it is divisible by the number (24) 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 22769301024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33093077472).

22769301024 is an abundant number, since it is smaller than the sum of its proper divisors (43416853920).

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

22769301024 is a wasteful number, since it uses less digits than its factorization.

22769301024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9631 (or 9620 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Adding to 22769301024 its reverse (42010396722), we get a palindrome (64779697746).

The spelling of 22769301024 in words is "twenty-two billion, seven hundred sixty-nine million, three hundred one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 83 96 101 144 166 202 249 288 303 332 404 498 606 664 747 808 909 996 1212 1328 1494 1616 1818 1992 2424 2656 2988 3232 3636 3984 4848 5976 7272 7968 8383 9431 9696 11952 14544 16766 18862 23904 25149 28293 29088 33532 37724 50298 56586 67064 75447 75448 84879 100596 113172 134128 150894 150896 169758 201192 226344 268256 301788 301792 339516 402384 452688 603576 679032 782773 804768 905376 952531 1207152 1358064 1565546 1905062 2348319 2414304 2716128 2857593 3131092 3810124 4696638 5715186 6262184 7044957 7620248 8572779 9393276 11430372 12524368 14089914 15240496 17145558 18786552 22860744 25048736 28179828 30480992 34291116 37573104 45721488 56359656 68582232 75146208 79060073 91442976 112719312 137164464 158120146 225438624 237180219 274328928 316240292 474360438 632480584 711540657 948720876 1264961168 1423081314 1897441752 2529922336 2846162628 3794883504 5692325256 7589767008 11384650512 22769301024