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14422144 = 271110243
BaseRepresentation
bin110111000001…
…000010000000
31000010201110111
4313001002000
512143002034
61233041104
7233405032
oct67010200
930121414
1014422144
118160630
1249b6194
132cac619
141cb5c52
1513ed364
hexdc1080

14422144 has 32 divisors (see below), whose sum is σ = 31346640. Its totient is φ = 6554880.

The previous prime is 14422139. The next prime is 14422147. The reversal of 14422144 is 44122441.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (14422147) 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 3 ways as a sum of consecutive naturals, for example, 3714 + ... + 6529.

Almost surely, 214422144 is an apocalyptic number.

It is an amenable number.

14422144 is an abundant number, since it is smaller than the sum of its proper divisors (16924496).

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

14422144 is a wasteful number, since it uses less digits than its factorization.

14422144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10268 (or 10256 counting only the distinct ones).

The product of its digits is 1024, while the sum is 22.

The square root of 14422144 is about 3797.6497995471. The cubic root of 14422144 is about 243.4127236208.

Adding to 14422144 its reverse (44122441), we get a palindrome (58544585).

The spelling of 14422144 in words is "fourteen million, four hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 10243 20486 40972 81944 112673 163888 225346 327776 450692 655552 901384 1311104 1802768 3605536 7211072 14422144