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22120323000 = 2335322033347
BaseRepresentation
bin10100100110011110…
…010101011110111000
32010002121021211121020
4110212132111132320
5330300300314000
614054551142440
71412106433416
oct244636253670
963077254536
1022120323000
119421389086
124354074a20
132116a5cc29
1410dbb422b6
15896e99ba0
hex5267957b8

22120323000 has 128 divisors (see below), whose sum is σ = 69067365120. Its totient is φ = 5894313600.

The previous prime is 22120322981. The next prime is 22120323073. The reversal of 22120323000 is 32302122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6607327 + ... + 6610673.

It is an arithmetic number, because the mean of its divisors is an integer number (539588790).

Almost surely, 222120323000 is an apocalyptic number.

22120323000 is a gapful number since it is divisible by the number (20) 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 22120323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34533682560).

22120323000 is an abundant number, since it is smaller than the sum of its proper divisors (46947042120).

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

22120323000 is a wasteful number, since it uses less digits than its factorization.

22120323000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5574 (or 5560 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 22120323000 its reverse (32302122), we get a palindrome (22152625122).

The spelling of 22120323000 in words is "twenty-two billion, one hundred twenty million, three hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 2203 3000 3347 4406 6609 6694 8812 10041 11015 13218 13388 16735 17624 20082 22030 26436 26776 33045 33470 40164 44060 50205 52872 55075 66090 66940 80328 83675 88120 100410 110150 132180 133880 165225 167350 200820 220300 251025 264360 275375 330450 334700 401640 418375 440600 502050 550750 660900 669400 826125 836750 1004100 1101500 1255125 1321800 1652250 1673500 2008200 2203000 2510250 3304500 3347000 5020500 6609000 7373441 10041000 14746882 22120323 29493764 36867205 44240646 58987528 73734410 88481292 110601615 147468820 176962584 184336025 221203230 294937640 368672050 442406460 553008075 737344100 884812920 921680125 1106016150 1474688200 1843360250 2212032300 2765040375 3686720500 4424064600 5530080750 7373441000 11060161500 22120323000