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14225998208 = 27173126803
BaseRepresentation
bin11010011111110111…
…11000000110000000
31100201102201120211112
431033323320012000
5213113323420313
610311344302452
71012350663302
oct151773700600
940642646745
1014225998208
116040229014
122910311a28
131459399826
1498d505972
15583dc58a8
hex34fef8180

14225998208 has 96 divisors (see below), whose sum is σ = 31011747480. Its totient is φ = 6477680640.

The previous prime is 14225998201. The next prime is 14225998217. The reversal of 14225998208 is 80289952241.

14225998208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×142259982082 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14225998201) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2087735 + ... + 2094537.

Almost surely, 214225998208 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 14225998208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15505873740).

14225998208 is an abundant number, since it is smaller than the sum of its proper divisors (16785749272).

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

14225998208 is an equidigital number, since it uses as much as digits as its factorization.

14225998208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6896 (or 6853 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 50.

The spelling of 14225998208 in words is "fourteen billion, two hundred twenty-five million, nine hundred ninety-eight thousand, two hundred eight".

Divisors: 1 2 4 8 16 17 31 32 34 62 64 68 124 128 136 248 272 496 527 544 961 992 1054 1088 1922 1984 2108 2176 3844 3968 4216 6803 7688 8432 13606 15376 16337 16864 27212 30752 32674 33728 54424 61504 65348 67456 108848 115651 123008 130696 210893 217696 231302 261392 421786 435392 462604 522784 843572 870784 925208 1045568 1687144 1850416 2091136 3374288 3585181 3700832 6537683 6748576 7170362 7401664 13075366 13497152 14340724 14803328 26150732 26994304 28681448 52301464 57362896 104602928 111140611 114725792 209205856 222281222 229451584 418411712 444562444 458903168 836823424 889124888 1778249776 3556499552 7112999104 14225998208