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22104288 = 2532234771
BaseRepresentation
bin101010001010…
…0100011100000
31112121000101100
41110110203200
521124314123
62105434400
7355611663
oct124244340
945530340
1022104288
1111528308
12749ba00
13476c17b
142d156da
151e19643
hex15148e0

22104288 has 144 divisors (see below), whose sum is σ = 67931136. Its totient is φ = 6800640.

The previous prime is 22104283. The next prime is 22104317. The reversal of 22104288 is 88240122.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22104283) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 311293 + ... + 311363.

It is an arithmetic number, because the mean of its divisors is an integer number (471744).

Almost surely, 222104288 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 22104288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33965568).

22104288 is an abundant number, since it is smaller than the sum of its proper divisors (45826848).

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

22104288 is a wasteful number, since it uses less digits than its factorization.

22104288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 22104288 is about 4701.5197542922. The cubic root of 22104288 is about 280.6459914721.

The spelling of 22104288 in words is "twenty-two million, one hundred four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 47 48 69 71 72 92 94 96 138 141 142 144 184 188 207 213 276 282 284 288 368 376 414 423 426 552 564 568 639 736 752 828 846 852 1081 1104 1128 1136 1278 1504 1633 1656 1692 1704 2162 2208 2256 2272 2556 3243 3266 3312 3337 3384 3408 4324 4512 4899 5112 6486 6532 6624 6674 6768 6816 8648 9729 9798 10011 10224 12972 13064 13348 13536 14697 17296 19458 19596 20022 20448 25944 26128 26696 29394 30033 34592 38916 39192 40044 51888 52256 53392 58788 60066 76751 77832 78384 80088 103776 106784 117576 120132 153502 155664 156768 160176 230253 235152 240264 307004 311328 320352 460506 470304 480528 614008 690759 921012 961056 1228016 1381518 1842024 2456032 2763036 3684048 5526072 7368096 11052144 22104288