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14228928 = 263273529
BaseRepresentation
bin110110010001…
…110111000000
3222202220102100
4312101313000
512120311203
61224550400
7231641520
oct66216700
928686370
1014228928
11803944a
124922400
132c426ac
141c65680
1513b0ea3
hexd91dc0

14228928 has 84 divisors (see below), whose sum is σ = 46624240. Its totient is φ = 4064256.

The previous prime is 14228923. The next prime is 14228933. The reversal of 14228928 is 82982241.

It is an interprime number because it is at equal distance from previous prime (14228923) and next prime (14228933).

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 = 14228892 and 14228901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14228923) 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 11 ways as a sum of consecutive naturals, for example, 2268 + ... + 5796.

Almost surely, 214228928 is an apocalyptic number.

14228928 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 14228928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23312120).

14228928 is an abundant number, since it is smaller than the sum of its proper divisors (32395312).

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

14228928 is a wasteful number, since it uses less digits than its factorization.

14228928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3554 (or 3541 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 14228928 is about 3772.1251304802. The cubic root of 14228928 is about 242.3208184993.

The spelling of 14228928 in words is "fourteen million, two hundred twenty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 3529 4032 7058 10587 14116 21174 24703 28232 31761 42348 49406 56464 63522 74109 84696 98812 112928 127044 148218 169392 197624 222327 225856 254088 296436 338784 395248 444654 508176 592872 677568 790496 889308 1016352 1185744 1580992 1778616 2032704 2371488 3557232 4742976 7114464 14228928