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22025016384 = 263723712507
BaseRepresentation
bin10100100000110010…
…110001010001000000
32002211221221202111120
4110200302301101000
5330101401011014
614041304312240
71406541356520
oct244062612100
962757852446
1022025016384
119382602888
124328172680
1321000a0797
1410cd213680
1588d920ba9
hex520cb1440

22025016384 has 112 divisors (see below), whose sum is σ = 69495180288. Its totient is φ = 6019250688.

The previous prime is 22025016373. The next prime is 22025016397. The reversal of 22025016384 is 48361052022.

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

It is a super-3 number, since 3×220250163843 (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 325342 + ... + 387165.

Almost surely, 222025016384 is an apocalyptic number.

22025016384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22025016384 is an abundant number, since it is smaller than the sum of its proper divisors (47470163904).

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

22025016384 is a wasteful number, since it uses less digits than its factorization.

22025016384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712552 (or 712542 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 22025016384 in words is "twenty-two billion, twenty-five million, sixteen thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 138 161 168 184 192 224 276 322 336 368 448 483 552 644 672 736 966 1104 1288 1344 1472 1932 2208 2576 3864 4416 5152 7728 10304 15456 30912 712507 1425014 2137521 2850028 4275042 4987549 5700056 8550084 9975098 11400112 14962647 16387661 17100168 19950196 22800224 29925294 32775322 34200336 39900392 45600448 49162983 59850588 65550644 68400672 79800784 98325966 114713627 119701176 131101288 136801344 159601568 196651932 229427254 239402352 262202576 319203136 344140881 393303864 458854508 478804704 524405152 688281762 786607728 917709016 957609408 1048810304 1376563524 1573215456 1835418032 2753127048 3146430912 3670836064 5506254096 7341672128 11012508192 22025016384