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14022288 = 243374637
BaseRepresentation
bin110101011111…
…011010010000
3222101101222000
4311133122100
512042203123
61220314000
7230121210
oct65373220
928341860
1014022288
117a08175
124842900
132b9c617
141c10240
15136eb43
hexd5f690

14022288 has 80 divisors (see below), whose sum is σ = 46008960. Its totient is φ = 4005504.

The previous prime is 14022277. The next prime is 14022293. The reversal of 14022288 is 88222041.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 706 + ... + 5342.

It is an arithmetic number, because the mean of its divisors is an integer number (575112).

Almost surely, 214022288 is an apocalyptic number.

14022288 is a gapful number since it is divisible by the number (18) 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 14022288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23004480).

14022288 is an abundant number, since it is smaller than the sum of its proper divisors (31986672).

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

14022288 is a wasteful number, since it uses less digits than its factorization.

14022288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4661 (or 4649 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 14022288 is about 3744.6345616095. The cubic root of 14022288 is about 241.1420568223.

The spelling of 14022288 in words is "fourteen million, twenty-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 4637 9274 13911 18548 27822 32459 37096 41733 55644 64918 74192 83466 97377 111288 125199 129836 166932 194754 222576 250398 259672 292131 333864 389508 500796 519344 584262 667728 779016 876393 1001592 1168524 1558032 1752786 2003184 2337048 3505572 4674096 7011144 14022288