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14220414 = 2331347431
BaseRepresentation
bin110110001111…
…110001111110
3222202110202000
4312033301332
512120023124
61224443130
7231604635
oct66176176
928673660
1014220414
11803300a
1249194a6
132c3b860
141c6251c
1513ad6c9
hexd8fc7e

14220414 has 64 divisors (see below), whose sum is σ = 34836480. Its totient is φ = 4272480.

The previous prime is 14220403. The next prime is 14220419. The reversal of 14220414 is 41402241.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14220419) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32779 + ... + 33209.

It is an arithmetic number, because the mean of its divisors is an integer number (544320).

Almost surely, 214220414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14220414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17418240).

14220414 is an abundant number, since it is smaller than the sum of its proper divisors (20616066).

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

14220414 is a wasteful number, since it uses less digits than its factorization.

14220414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 14220414 is about 3770.9964200460. The cubic root of 14220414 is about 242.2724772825.

Adding to 14220414 its reverse (41402241), we get a palindrome (55622655).

The spelling of 14220414 in words is "fourteen million, two hundred twenty thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 47 54 78 94 117 141 234 282 351 423 431 611 702 846 862 1222 1269 1293 1833 2538 2586 3666 3879 5499 5603 7758 10998 11206 11637 16497 16809 20257 23274 32994 33618 40514 50427 60771 100854 121542 151281 182313 263341 302562 364626 526682 546939 790023 1093878 1580046 2370069 4740138 7110207 14220414