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14224061220 = 22351313674931
BaseRepresentation
bin11010011111101000…
…11111001100100100
31100201022002011210020
431033310133030210
5213112324424340
610311234555140
71012325345145
oct151764371444
940638064706
1014224061220
11603a1257a6
12290b738ab0
131458b6bc95
1498d15dacc
15583b419d0
hex34fd1f324

14224061220 has 96 divisors (see below), whose sum is σ = 40248907776. Its totient is φ = 3753110400.

The previous prime is 14224061179. The next prime is 14224061227. The reversal of 14224061220 is 2216042241.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (14224061227) 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 31 ways as a sum of consecutive naturals, for example, 2882155 + ... + 2887085.

It is an arithmetic number, because the mean of its divisors is an integer number (419259456).

Almost surely, 214224061220 is an apocalyptic number.

14224061220 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 14224061220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20124453888).

14224061220 is an abundant number, since it is smaller than the sum of its proper divisors (26024846556).

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

14224061220 is a wasteful number, since it uses less digits than its factorization.

14224061220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5441 (or 5439 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The spelling of 14224061220 in words is "fourteen billion, two hundred twenty-four million, sixty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 131 262 367 393 524 655 734 786 1101 1310 1468 1572 1835 1965 2202 2620 3670 3930 4404 4931 5505 7340 7860 9862 11010 14793 19724 22020 24655 29586 48077 49310 59172 73965 96154 98620 144231 147930 192308 240385 288462 295860 480770 576924 645961 721155 961540 1291922 1442310 1809677 1937883 2583844 2884620 3229805 3619354 3875766 5429031 6459610 7238708 7751532 9048385 9689415 10858062 12919220 18096770 19378830 21716124 27145155 36193540 38757660 54290310 108580620 237067687 474135374 711203061 948270748 1185338435 1422406122 2370676870 2844812244 3556015305 4741353740 7112030610 14224061220