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22012234000 = 245364717011
BaseRepresentation
bin10100100000000010…
…000000100100010000
32002211001220100100221
4110200002000210100
5330040112442000
614040130322424
71406324621221
oct244002004420
962731810327
1022012234000
119376372229
124323a29414
1320ca546643
1410cb647248
1588c74861a
hex520080910

22012234000 has 80 divisors (see below), whose sum is σ = 53310980736. Its totient is φ = 8790768000.

The previous prime is 22012233977. The next prime is 22012234021. The reversal of 22012234000 is 43221022.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1285495 + ... + 1302505.

Almost surely, 222012234000 is an apocalyptic number.

22012234000 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 22012234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26655490368).

22012234000 is an abundant number, since it is smaller than the sum of its proper divisors (31298746736).

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

22012234000 is a wasteful number, since it uses less digits than its factorization.

22012234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17681 (or 17665 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 22012234000 its reverse (43221022), we get a palindrome (22055455022).

The spelling of 22012234000 in words is "twenty-two billion, twelve million, two hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 647 1000 1294 2000 2588 3235 5176 6470 10352 12940 16175 17011 25880 32350 34022 51760 64700 68044 80875 85055 129400 136088 161750 170110 258800 272176 323500 340220 425275 647000 680440 850550 1294000 1360880 1701100 2126375 3402200 4252750 6804400 8505500 11006117 17011000 22012234 34022000 44024468 55030585 88048936 110061170 176097872 220122340 275152925 440244680 550305850 880489360 1100611700 1375764625 2201223400 2751529250 4402446800 5503058500 11006117000 22012234000