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22351147008 = 21237324917
BaseRepresentation
bin10100110100001110…
…110111000000000000
32010200200121220121120
4110310032313000000
5331233343201013
614133514352240
71420611420621
oct246416670000
963620556546
1022351147008
11952a704623
1243b942b680
13215281a298
141120669a48
158ac392123
hex5343b7000

22351147008 has 104 divisors (see below), whose sum is σ = 60414588048. Its totient is φ = 7348027392.

The previous prime is 22351146911. The next prime is 22351147051. The reversal of 22351147008 is 80074115322.

It is a Cunningham number, because it is equal to 1495032-1.

It is a self number, because there is not a number n which added to its sum of digits gives 22351147008.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 884566 + ... + 909482.

Almost surely, 222351147008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22351147008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30207294024).

22351147008 is an abundant number, since it is smaller than the sum of its proper divisors (38063441040).

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

22351147008 is an equidigital number, since it uses as much as digits as its factorization.

22351147008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25017 (or 24995 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 22351147008 in words is "twenty-two billion, three hundred fifty-one million, one hundred forty-seven thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 128 146 192 219 256 292 384 438 512 584 768 876 1024 1168 1536 1752 2048 2336 3072 3504 4096 4672 6144 7008 9344 12288 14016 18688 24917 28032 37376 49834 56064 74751 74752 99668 112128 149502 149504 199336 224256 299004 299008 398672 448512 598008 797344 897024 1196016 1594688 1818941 2392032 3189376 3637882 4784064 5456823 6378752 7275764 9568128 10913646 12757504 14551528 19136256 21827292 25515008 29103056 38272512 43654584 51030016 58206112 76545024 87309168 102060032 116412224 153090048 174618336 232824448 306180096 349236672 465648896 698473344 931297792 1396946688 1862595584 2793893376 3725191168 5587786752 7450382336 11175573504 22351147008