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10222839424 = 277210131609
BaseRepresentation
bin10011000010101010…
…00010011010000000
3222101110002001100101
421201111002122000
5131414021330144
64410222532144
7511221462400
oct114125023200
928343061311
1010222839424
114376587626
121b93737054
13c6bc10415
146cd9ac800
153ec7296d4
hex261542680

10222839424 has 96 divisors (see below), whose sum is σ = 23728968900. Its totient is φ = 4374171648.

The previous prime is 10222839413. The next prime is 10222839563. The reversal of 10222839424 is 42493822201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10194537024 + 28302400 = 100968^2 + 5320^2 .

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 11 ways as a sum of consecutive naturals, for example, 6352732 + ... + 6354340.

Almost surely, 210222839424 is an apocalyptic number.

10222839424 is a gapful number since it is divisible by the number (14) 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 10222839424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11864484450).

10222839424 is an abundant number, since it is smaller than the sum of its proper divisors (13506129476).

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

10222839424 is a wasteful number, since it uses less digits than its factorization.

10222839424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2650 (or 2631 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The spelling of 10222839424 in words is "ten billion, two hundred twenty-two million, eight hundred thirty-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 784 896 1013 1568 1609 2026 3136 3218 4052 6272 6436 7091 8104 11263 12872 14182 16208 22526 25744 28364 32416 45052 49637 51488 56728 64832 78841 90104 99274 102976 113456 129664 157682 180208 198548 205952 226912 315364 360416 397096 453824 630728 720832 794192 907648 1261456 1441664 1588384 1629917 2522912 3176768 3259834 5045824 6353536 6519668 10091648 11409419 13039336 22818838 26078672 45637676 52157344 79865933 91275352 104314688 159731866 182550704 208629376 319463732 365101408 638927464 730202816 1277854928 1460405632 2555709856 5111419712 10222839424