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14342220 = 223251743109
BaseRepresentation
bin110110101101…
…100001001100
3222222122211100
4312231201030
512132422340
61231223100
7232623024
oct66554114
928878740
1014342220
118106582
124977a90
132c82129
141c94a84
1513d4830
hexdad84c

14342220 has 144 divisors (see below), whose sum is σ = 47567520. Its totient is φ = 3483648.

The previous prime is 14342189. The next prime is 14342231. The reversal of 14342220 is 2224341.

14342220 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 = 14342193 and 14342202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131526 + ... + 131634.

It is an arithmetic number, because the mean of its divisors is an integer number (330330).

Almost surely, 214342220 is an apocalyptic number.

14342220 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 14342220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23783760).

14342220 is an abundant number, since it is smaller than the sum of its proper divisors (33225300).

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

14342220 is a wasteful number, since it uses less digits than its factorization.

14342220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 179 counting only the distinct ones).

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

The square root of 14342220 is about 3787.1123564003. The cubic root of 14342220 is about 242.9622458238.

Adding to 14342220 its reverse (2224341), we get a palindrome (16566561).

The spelling of 14342220 in words is "fourteen million, three hundred forty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 43 45 51 60 68 85 86 90 102 109 129 153 170 172 180 204 215 218 255 258 306 327 340 387 430 436 510 516 545 612 645 654 731 765 774 860 981 1020 1090 1290 1308 1462 1530 1548 1635 1853 1935 1962 2180 2193 2580 2924 3060 3270 3655 3706 3870 3924 4386 4687 4905 5559 6540 6579 7310 7412 7740 8772 9265 9374 9810 10965 11118 13158 14061 14620 16677 18530 18748 19620 21930 22236 23435 26316 27795 28122 32895 33354 37060 42183 43860 46870 55590 56244 65790 66708 70305 79679 83385 84366 93740 111180 131580 140610 159358 166770 168732 210915 239037 281220 318716 333540 398395 421830 478074 717111 796790 843660 956148 1195185 1434222 1593580 2390370 2868444 3585555 4780740 7171110 14342220