[go: up one dir, main page]

Search a number
-
+
14113224 = 2333223293
BaseRepresentation
bin110101110101…
…100111001000
3222120000201000
4311311213020
512103110344
61222255000
7230650266
oct65654710
928500630
1014113224
117a6a524
124887460
132c01b28
141c35436
15138ba69
hexd759c8

14113224 has 64 divisors (see below), whose sum is σ = 39513600. Its totient is φ = 4667328.

The previous prime is 14113199. The next prime is 14113249. The reversal of 14113224 is 42231141.

It is an interprime number because it is at equal distance from previous prime (14113199) and next prime (14113249).

It is a super-3 number, since 3×141132243 (a number of 22 digits) contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 14113197 and 14113206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48022 + ... + 48314.

It is an arithmetic number, because the mean of its divisors is an integer number (617400).

Almost surely, 214113224 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 14113224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19756800).

14113224 is an abundant number, since it is smaller than the sum of its proper divisors (25400376).

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

14113224 is a wasteful number, since it uses less digits than its factorization.

14113224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 521 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 14113224 is about 3756.7571121913. The cubic root of 14113224 is about 241.6622111479.

Adding to 14113224 its reverse (42231141), we get a palindrome (56344365).

The spelling of 14113224 in words is "fourteen million, one hundred thirteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 223 293 446 586 669 879 892 1172 1338 1758 1784 2007 2344 2637 2676 3516 4014 5274 5352 6021 7032 7911 8028 10548 12042 15822 16056 21096 24084 31644 48168 63288 65339 130678 196017 261356 392034 522712 588051 784068 1176102 1568136 1764153 2352204 3528306 4704408 7056612 14113224