Search a number
-
+
14064224 = 252397197
BaseRepresentation
bin110101101001…
…101001100000
3222110112111012
4311221221200
512100023344
61221240052
7230354366
oct65515140
928415435
1014064224
117a36729
124863028
132bb5735
141c21636
15137c29e
hexd69a60

14064224 has 48 divisors (see below), whose sum is σ = 29338848. Its totient is φ = 6623232.

The previous prime is 14064223. The next prime is 14064263. The reversal of 14064224 is 42246041.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 14064224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14064223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71294 + ... + 71490.

It is an arithmetic number, because the mean of its divisors is an integer number (611226).

Almost surely, 214064224 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 14064224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14669424).

14064224 is an abundant number, since it is smaller than the sum of its proper divisors (15274624).

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

14064224 is a wasteful number, since it uses less digits than its factorization.

14064224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 14064224 is about 3750.2298596219. The cubic root of 14064224 is about 241.3822094740.

The spelling of 14064224 in words is "fourteen million, sixty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 23 32 46 92 97 184 194 197 368 388 394 736 776 788 1552 1576 2231 3104 3152 4462 4531 6304 8924 9062 17848 18124 19109 35696 36248 38218 71392 72496 76436 144992 152872 305744 439507 611488 879014 1758028 3516056 7032112 14064224