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14056224 = 2537131609
BaseRepresentation
bin110101100111…
…101100100000
3222110010111220
4311213230200
512044244344
61221135040
7230322150
oct65475440
928403456
1014056224
117a30716
12485a480
132bb1bc0
141c1c760
151379c19
hexd67b20

14056224 has 96 divisors (see below), whose sum is σ = 45440640. Its totient is φ = 3704832.

The previous prime is 14056201. The next prime is 14056241. The reversal of 14056224 is 42265041.

14056224 = 4412 + 4422 + ... + 5032.

14056224 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 14056194 and 14056203.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7932 + ... + 9540.

It is an arithmetic number, because the mean of its divisors is an integer number (473340).

Almost surely, 214056224 is an apocalyptic number.

14056224 is a gapful number since it is divisible by the number (14) 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 14056224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22720320).

14056224 is an abundant number, since it is smaller than the sum of its proper divisors (31384416).

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

14056224 is a wasteful number, since it uses less digits than its factorization.

14056224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 14056224 is about 3749.1631066146. The cubic root of 14056224 is about 241.3364331853.

The spelling of 14056224 in words is "fourteen million, fifty-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 416 546 624 672 728 1092 1248 1456 1609 2184 2912 3218 4368 4827 6436 8736 9654 11263 12872 19308 20917 22526 25744 33789 38616 41834 45052 51488 62751 67578 77232 83668 90104 125502 135156 146419 154464 167336 180208 251004 270312 292838 334672 360416 439257 502008 540624 585676 669344 878514 1004016 1081248 1171352 1757028 2008032 2342704 3514056 4685408 7028112 14056224