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14422744 = 2372983107
BaseRepresentation
bin110111000001…
…001011011000
31000010202021201
4313001023120
512143011434
61233043544
7233406550
oct67011330
930122251
1014422744
118161026
1249b65b4
132cac98b
141cb6160
1513ed614
hexdc12d8

14422744 has 64 divisors (see below), whose sum is σ = 32659200. Its totient is φ = 5841024.

The previous prime is 14422741. The next prime is 14422747. The reversal of 14422744 is 44722441.

It is an interprime number because it is at equal distance from previous prime (14422741) and next prime (14422747).

It is a Harshad number since it is a multiple of its sum of digits (28).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14422741) 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 15 ways as a sum of consecutive naturals, for example, 134739 + ... + 134845.

It is an arithmetic number, because the mean of its divisors is an integer number (510300).

Almost surely, 214422744 is an apocalyptic number.

14422744 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 14422744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16329600).

14422744 is an abundant number, since it is smaller than the sum of its proper divisors (18236456).

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

14422744 is a wasteful number, since it uses less digits than its factorization.

14422744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 228 counting only the distinct ones).

The product of its digits is 7168, while the sum is 28.

The square root of 14422744 is about 3797.7287949510. The cubic root of 14422744 is about 243.4160991155.

It can be divided in two parts, 1442 and 2744, that added together give a triangular number (4186 = T91).

The spelling of 14422744 in words is "fourteen million, four hundred twenty-two thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 28 29 56 58 83 107 116 166 203 214 232 332 406 428 581 664 749 812 856 1162 1498 1624 2324 2407 2996 3103 4648 4814 5992 6206 8881 9628 12412 16849 17762 19256 21721 24824 33698 35524 43442 62167 67396 71048 86884 124334 134792 173768 248668 257549 497336 515098 1030196 1802843 2060392 3605686 7211372 14422744