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22010101984 = 251359612241
BaseRepresentation
bin10100011111111001…
…111000000011100000
32002210220220000210101
4110133321320003200
5330034041230414
614040012512144
71406300531353
oct243771700340
962726800711
1022010101984
119375146432
12432317b654
1320c9c7b0b0
1410cb25029a
1588c476a74
hex51fe780e0

22010101984 has 144 divisors (see below), whose sum is σ = 48447519120. Its totient is φ = 9781862400.

The previous prime is 22010101973. The next prime is 22010102039. The reversal of 22010101984 is 48910101022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91328104 + ... + 91328344.

It is an arithmetic number, because the mean of its divisors is an integer number (336441105).

Almost surely, 222010101984 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 22010101984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24223759560).

22010101984 is an abundant number, since it is smaller than the sum of its proper divisors (26437417136).

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

22010101984 is a wasteful number, since it uses less digits than its factorization.

22010101984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The spelling of 22010101984 in words is "twenty-two billion, ten million, one hundred one thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 32 52 59 61 104 118 122 208 236 241 244 416 472 482 488 767 793 944 964 976 1534 1586 1888 1928 1952 3068 3133 3172 3599 3721 3856 6136 6266 6344 7198 7442 7712 12272 12532 12688 14219 14396 14701 14884 24544 25064 25376 28438 28792 29402 29768 46787 48373 50128 56876 57584 58804 59536 93574 96746 100256 113752 115168 117608 119072 184847 187148 191113 193492 219539 227504 235216 369694 374296 382226 386984 439078 455008 470432 739388 748592 764452 773968 867359 878156 896761 1478776 1497184 1528904 1547936 1734718 1756312 1793522 2854007 2957552 3057808 3469436 3512624 3587044 5708014 5915104 6115616 6938872 7025248 7174088 11275667 11416028 11657893 13877744 14348176 22551334 22832056 23315786 27755488 28696352 45102668 45664112 46631572 52908899 90205336 91328224 93263144 105817798 180410672 186526288 211635596 360821344 373052576 423271192 687815687 846542384 1375631374 1693084768 2751262748 5502525496 11005050992 22010101984