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22244406128 = 247331532467
BaseRepresentation
bin10100101101110111…
…101011001101110000
32010102020202220122122
4110231313223031300
5331024031444003
614115142453412
71415144222000
oct245567531560
963366686578
1022244406128
11948542961a
124389734268
1321366864b9
141110402000
158a2d0a238
hex52ddeb370

22244406128 has 160 divisors (see below), whose sum is σ = 52882329600. Its totient is φ = 9048049920.

The previous prime is 22244406113. The next prime is 22244406157. The reversal of 22244406128 is 82160444222.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9015551 + ... + 9018017.

It is an arithmetic number, because the mean of its divisors is an integer number (330514560).

Almost surely, 222244406128 is an apocalyptic number.

22244406128 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 22244406128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26441164800).

22244406128 is an abundant number, since it is smaller than the sum of its proper divisors (30637923472).

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

22244406128 is a wasteful number, since it uses less digits than its factorization.

22244406128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2580 (or 2560 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 35.

The spelling of 22244406128 in words is "twenty-two billion, two hundred forty-four million, four hundred six thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 49 53 56 62 98 106 112 124 196 212 217 248 343 371 392 424 434 496 686 742 784 848 868 1372 1484 1519 1643 1736 2467 2597 2744 2968 3038 3286 3472 4934 5194 5488 5936 6076 6572 9868 10388 10633 11501 12152 13144 17269 18179 19736 20776 21266 23002 24304 26288 34538 36358 39472 41552 42532 46004 69076 72716 76477 80507 85064 92008 120883 130751 138152 145432 152954 161014 170128 184016 241766 261502 276304 290864 305908 322028 483532 523004 535339 563549 611816 644056 846181 915257 967064 1046008 1070678 1127098 1223632 1288112 1692362 1830514 1934128 2092016 2141356 2254196 3384724 3661028 3747373 4053281 4282712 4508392 6406799 6769448 7322056 7494746 8106562 8565424 9016784 12813598 13538896 14644112 14989492 16213124 25627196 26231611 28372967 29978984 32426248 44847593 51254392 52463222 56745934 59957968 64852496 89695186 102508784 104926444 113491868 179390372 198610769 209852888 226983736 358780744 397221538 419705776 453967472 717561488 794443076 1390275383 1588886152 2780550766 3177772304 5561101532 11122203064 22244406128