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14223224440 = 2351944941681
BaseRepresentation
bin11010011111100010…
…10010111001111000
31100201020111122221101
431033301102321320
5213112121140230
610311205021144
71012315261435
oct151761227170
940636448841
1014223224440
116039704047
12290b3b47b4
131458938149
1498cdc2b8c
15583a28aca
hex34fc52e78

14223224440 has 64 divisors (see below), whose sum is σ = 33762420000. Its totient is φ = 5377720320.

The previous prime is 14223224429. The next prime is 14223224447. The reversal of 14223224440 is 4442232241.

It is a super-2 number, since 2×142232244402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14223224399 and 14223224408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14223224447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 320400 + ... + 362080.

Almost surely, 214223224440 is an apocalyptic number.

14223224440 is a gapful number since it is divisible by the number (10) 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 14223224440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16881210000).

14223224440 is an abundant number, since it is smaller than the sum of its proper divisors (19539195560).

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

14223224440 is a wasteful number, since it uses less digits than its factorization.

14223224440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42160 (or 42156 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 14223224440 its reverse (4442232241), we get a palindrome (18665456681).

The spelling of 14223224440 in words is "fourteen billion, two hundred twenty-three million, two hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 449 760 898 1796 2245 3592 4490 8531 8980 17062 17960 34124 41681 42655 68248 83362 85310 166724 170620 208405 333448 341240 416810 791939 833620 1583878 1667240 3167756 3959695 6335512 7919390 15838780 18714769 31677560 37429538 74859076 93573845 149718152 187147690 355580611 374295380 711161222 748590760 1422322444 1777903055 2844644888 3555806110 7111612220 14223224440