Search a number
-
+
14422240 = 255779163
BaseRepresentation
bin110111000001…
…000011100000
31000010201121001
4313001003200
512143002430
61233041344
7233405230
oct67010340
930121531
1014422240
118160708
1249b6254
132cac691
141cb5cc0
1513ed3ca
hexdc10e0

14422240 has 96 divisors (see below), whose sum is σ = 39674880. Its totient is φ = 4852224.

The previous prime is 14422237. The next prime is 14422241. The reversal of 14422240 is 4222441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14422241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88399 + ... + 88561.

It is an arithmetic number, because the mean of its divisors is an integer number (413280).

Almost surely, 214422240 is an apocalyptic number.

14422240 is a gapful number since it is divisible by the number (10) 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 14422240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19837440).

14422240 is an abundant number, since it is smaller than the sum of its proper divisors (25252640).

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

14422240 is a wasteful number, since it uses less digits than its factorization.

14422240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 14422240 is about 3797.6624389221. The cubic root of 14422240 is about 243.4132637063.

Adding to 14422240 its reverse (4222441), we get a palindrome (18644681).

The spelling of 14422240 in words is "fourteen million, four hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 79 80 112 140 158 160 163 224 280 316 326 395 553 560 632 652 790 815 1106 1120 1141 1264 1304 1580 1630 2212 2282 2528 2608 2765 3160 3260 4424 4564 5216 5530 5705 6320 6520 8848 9128 11060 11410 12640 12877 13040 17696 18256 22120 22820 25754 26080 36512 44240 45640 51508 64385 88480 90139 91280 103016 128770 180278 182560 206032 257540 360556 412064 450695 515080 721112 901390 1030160 1442224 1802780 2060320 2884448 3605560 7211120 14422240