Search a number
-
+
14122220 = 2257149677
BaseRepresentation
bin110101110111…
…110011101100
3222120111001012
4311313303230
512103402340
61222404352
7231015440
oct65676354
928514035
1014122220
117a76262
1248906b8
132c05c58
141c38820
15138e565
hexd77cec

14122220 has 48 divisors (see below), whose sum is σ = 34171200. Its totient is φ = 4802304.

The previous prime is 14122219. The next prime is 14122237. The reversal of 14122220 is 2222141.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 14122195 and 14122204.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20522 + ... + 21198.

It is an arithmetic number, because the mean of its divisors is an integer number (711900).

Almost surely, 214122220 is an apocalyptic number.

14122220 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 14122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17085600).

14122220 is an abundant number, since it is smaller than the sum of its proper divisors (20048980).

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

14122220 is a wasteful number, since it uses less digits than its factorization.

14122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 14122220 is about 3757.9542306952. The cubic root of 14122220 is about 241.7135467251.

Adding to 14122220 its reverse (2222141), we get a palindrome (16344361).

The spelling of 14122220 in words is "fourteen million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 149 298 596 677 745 1043 1354 1490 2086 2708 2980 3385 4172 4739 5215 6770 9478 10430 13540 18956 20860 23695 47390 94780 100873 201746 403492 504365 706111 1008730 1412222 2017460 2824444 3530555 7061110 14122220