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14422272 = 28389211
BaseRepresentation
bin110111000001…
…000100000000
31000010201122020
4313001010000
512143003042
61233041440
7233405304
oct67010400
930121566
1014422272
118160737
1249b6280
132cac6b7
141cb5d04
1513ed3ec
hexdc1100

14422272 has 72 divisors (see below), whose sum is σ = 38999520. Its totient is φ = 4730880.

The previous prime is 14422271. The next prime is 14422297. The reversal of 14422272 is 27222441.

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

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (14422271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68247 + ... + 68457.

It is an arithmetic number, because the mean of its divisors is an integer number (541660).

Almost surely, 214422272 is an apocalyptic number.

14422272 is a gapful number since it is divisible by the number (12) 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 14422272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19499760).

14422272 is an abundant number, since it is smaller than the sum of its proper divisors (24577248).

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

14422272 is an equidigital number, since it uses as much as digits as its factorization.

14422272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 305 counting only the distinct ones).

The product of its digits is 1792, while the sum is 24.

The square root of 14422272 is about 3797.6666520378. Note that the first 4 decimals coincide. The cubic root of 14422272 is about 243.4134437342.

The spelling of 14422272 in words is "fourteen million, four hundred twenty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 128 178 192 211 256 267 356 384 422 534 633 712 768 844 1068 1266 1424 1688 2136 2532 2848 3376 4272 5064 5696 6752 8544 10128 11392 13504 17088 18779 20256 22784 27008 34176 37558 40512 54016 56337 68352 75116 81024 112674 150232 162048 225348 300464 450696 600928 901392 1201856 1802784 2403712 3605568 4807424 7211136 14422272