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14223420 = 22325312549
BaseRepresentation
bin110110010000…
…100000111100
3222202121212100
4312100200330
512120122140
61224505100
7231616461
oct66204074
928677770
1014223420
1180352a2
12491b190
132c40033
141c63668
1513ae530
hexd9083c

14223420 has 72 divisors (see below), whose sum is σ = 44553600. Its totient is φ = 3669120.

The previous prime is 14223413. The next prime is 14223421. The reversal of 14223420 is 2432241.

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

It is a junction number, because it is equal to n+sod(n) for n = 14223393 and 14223402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14223421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4306 + ... + 6854.

It is an arithmetic number, because the mean of its divisors is an integer number (618800).

Almost surely, 214223420 is an apocalyptic number.

14223420 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 14223420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22276800).

14223420 is an abundant number, since it is smaller than the sum of its proper divisors (30330180).

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

14223420 is a wasteful number, since it uses less digits than its factorization.

14223420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2595 (or 2590 counting only the distinct ones).

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

The square root of 14223420 is about 3771.3949673828. The cubic root of 14223420 is about 242.2895471034.

Adding to 14223420 its reverse (2432241), we get a palindrome (16655661).

The spelling of 14223420 in words is "fourteen million, two hundred twenty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2549 2790 5098 5580 7647 10196 12745 15294 22941 25490 30588 38235 45882 50980 76470 79019 91764 114705 152940 158038 229410 237057 316076 395095 458820 474114 711171 790190 948228 1185285 1422342 1580380 2370570 2844684 3555855 4741140 7111710 14223420