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13114224 = 24353373
BaseRepresentation
bin110010000001…
…101101110000
3220200021100000
4302001231300
511324123344
61145030000
7216316614
oct62015560
926607300
1013114224
117447a02
124485300
1329421c6
141a55344
151240a69
hexc81b70

13114224 has 60 divisors (see below), whose sum is σ = 38072216. Its totient is φ = 4370112.

The previous prime is 13114217. The next prime is 13114261. The reversal of 13114224 is 42241131.

It is a super-2 number, since 2×131142242 = 343965742244352, which contains 22 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 = 13114197 and 13114206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2202 + ... + 5574.

Almost surely, 213114224 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 13114224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19036108).

13114224 is an abundant number, since it is smaller than the sum of its proper divisors (24957992).

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

13114224 is an equidigital number, since it uses as much as digits as its factorization.

13114224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3396 (or 3378 counting only the distinct ones).

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

The square root of 13114224 is about 3621.3566518640. The cubic root of 13114224 is about 235.8201253145.

Adding to 13114224 its reverse (42241131), we get a palindrome (55355355).

The spelling of 13114224 in words is "thirteen million, one hundred fourteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1944 3373 3888 6746 10119 13492 20238 26984 30357 40476 53968 60714 80952 91071 121428 161904 182142 242856 273213 364284 485712 546426 728568 819639 1092852 1457136 1639278 2185704 3278556 4371408 6557112 13114224