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14220041220 = 223257114212437
BaseRepresentation
bin11010011111001010…
…01001110000000100
31100201000111221101100
431033211021300010
5213110312304340
610311012500100
71012246233060
oct151745116004
940630457340
1014220041220
11603792a490
12290a31a630
131458092298
1498c7d4aa0
155835ea830
hex34f949c04

14220041220 has 288 divisors, whose sum is σ = 53927467776. Its totient is φ = 2946585600.

The previous prime is 14220041191. The next prime is 14220041233. The reversal of 14220041220 is 2214002241.

14220041220 is a `hidden beast` number, since 14 + 220 + 0 + 412 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14220041193 and 14220041202.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5833842 + ... + 5836278.

It is an arithmetic number, because the mean of its divisors is an integer number (187248152).

Almost surely, 214220041220 is an apocalyptic number.

14220041220 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 14220041220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26963733888).

14220041220 is an abundant number, since it is smaller than the sum of its proper divisors (39707426556).

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

14220041220 is a wasteful number, since it uses less digits than its factorization.

14220041220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2891 (or 2886 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 14220041220 its reverse (2214002241), we get a palindrome (16434043461).

The spelling of 14220041220 in words is "fourteen billion, two hundred twenty million, forty-one thousand, two hundred twenty".