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22921271072 = 2571941131357
BaseRepresentation
bin10101010110001101…
…101101011100100000
32012011102102012210122
4111112031231130200
5333420321133242
614310242215412
71441003406120
oct252615553440
965142365718
1022921271072
1197a2507237
124538354568
1322139854bb
141176276c80
158e245cad2
hex55636d720

22921271072 has 96 divisors (see below), whose sum is σ = 55611722880. Its totient is φ = 9079326720.

The previous prime is 22921271059. The next prime is 22921271099. The reversal of 22921271072 is 27017212922.

It is a super-2 number, since 2×229212710722 (a number of 22 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 108818 + ... + 240174.

It is an arithmetic number, because the mean of its divisors is an integer number (579288780).

Almost surely, 222921271072 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 22921271072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27805861440).

22921271072 is an abundant number, since it is smaller than the sum of its proper divisors (32690451808).

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

22921271072 is a wasteful number, since it uses less digits than its factorization.

22921271072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131434 (or 131426 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 35.

Adding to 22921271072 its reverse (27017212922), we get a palindrome (49938483994).

The spelling of 22921271072 in words is "twenty-two billion, nine hundred twenty-one million, two hundred seventy-one thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 41 56 76 82 112 133 152 164 224 266 287 304 328 532 574 608 656 779 1064 1148 1312 1558 2128 2296 3116 4256 4592 5453 6232 9184 10906 12464 21812 24928 43624 87248 131357 174496 262714 525428 919499 1050856 1838998 2101712 2495783 3677996 4203424 4991566 5385637 7355992 9983132 10771274 14711984 17470481 19966264 21542548 29423968 34940962 37699459 39932528 43085096 69881924 75398918 79865056 86170192 102327103 139763848 150797836 172340384 204654206 279527696 301595672 409308412 559055392 603191344 716289721 818616824 1206382688 1432579442 1637233648 2865158884 3274467296 5730317768 11460635536 22921271072