Search a number
-
+
14222430 = 2325374271
BaseRepresentation
bin110110010000…
…010001011110
3222202120111200
4312100101132
512120104210
61224500330
7231613545
oct66202136
928676450
1014222430
118034582
12491a6a6
132c3c751
141c6315c
1513ae0c0
hexd9045e

14222430 has 48 divisors (see below), whose sum is σ = 37986624. Its totient is φ = 3689280.

The previous prime is 14222419. The next prime is 14222443. The reversal of 14222430 is 3422241.

14222430 is a `hidden beast` number, since 1 + 422 + 243 + 0 = 666.

It is a super-3 number, since 3×142224303 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1195 + ... + 5465.

It is an arithmetic number, because the mean of its divisors is an integer number (791388).

Almost surely, 214222430 is an apocalyptic number.

14222430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14222430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18993312).

14222430 is an abundant number, since it is smaller than the sum of its proper divisors (23764194).

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

14222430 is a wasteful number, since it uses less digits than its factorization.

14222430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4321 (or 4318 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 14222430 is about 3771.2637139293. The cubic root of 14222430 is about 242.2839255717.

Adding to 14222430 its reverse (3422241), we get a palindrome (17644671).

The spelling of 14222430 in words is "fourteen million, two hundred twenty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 4271 8542 12813 21355 25626 38439 42710 64065 76878 128130 158027 192195 316054 384390 474081 790135 948162 1422243 1580270 2370405 2844486 4740810 7111215 14222430