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22755224128 = 2671331126037
BaseRepresentation
bin10101001100010100…
…010010101001000000
32011201211222011012211
4111030110102221000
5333100314133003
614241551231504
71433616133210
oct251424225100
964654864184
1022755224128
11971780475a
1244b0818594
1321b8458580
14115c1b2240
158d2aad96d
hex54c512a40

22755224128 has 112 divisors (see below), whose sum is σ = 57368464384. Its totient is φ = 8711608320.

The previous prime is 22755224099. The next prime is 22755224189. The reversal of 22755224128 is 82142255722.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117526 + ... + 243562.

It is an arithmetic number, because the mean of its divisors is an integer number (512218432).

Almost surely, 222755224128 is an apocalyptic number.

22755224128 is a gapful number since it is divisible by the number (28) 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 22755224128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28684232192).

22755224128 is an abundant number, since it is smaller than the sum of its proper divisors (34613240256).

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

22755224128 is a wasteful number, since it uses less digits than its factorization.

22755224128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126100 (or 126090 counting only the distinct ones).

The product of its digits is 179200, while the sum is 40.

The spelling of 22755224128 in words is "twenty-two billion, seven hundred fifty-five million, two hundred twenty-four thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 32 52 56 62 64 91 104 112 124 182 208 217 224 248 364 403 416 434 448 496 728 806 832 868 992 1456 1612 1736 1984 2821 2912 3224 3472 5642 5824 6448 6944 11284 12896 13888 22568 25792 45136 90272 126037 180544 252074 504148 882259 1008296 1638481 1764518 2016592 3276962 3529036 3907147 4033184 6553924 7058072 7814294 8066368 11469367 13107848 14116144 15628588 22938734 26215696 27350029 28232288 31257176 45877468 50792911 52431392 54700058 56464576 62514352 91754936 101585822 104862784 109400116 125028704 183509872 203171644 218800232 250057408 355550377 367019744 406343288 437600464 711100754 734039488 812686576 875200928 1422201508 1625373152 1750401856 2844403016 3250746304 5688806032 11377612064 22755224128