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14430220 = 2257591747
BaseRepresentation
bin110111000011…
…000000001100
31000011010112121
4313003000030
512143231340
61233142324
7233440420
oct67030014
930133477
1014430220
118166702
1249ba9a4
132cb31bc
141cb8b80
15140094a
hexdc300c

14430220 has 48 divisors (see below), whose sum is σ = 35239680. Its totient is φ = 4860864.

The previous prime is 14430217. The next prime is 14430271. The reversal of 14430220 is 2203441.

14430220 = T225 + T226 + ... + T460.

It is a junction number, because it is equal to n+sod(n) for n = 14430194 and 14430203.

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, 7387 + ... + 9133.

It is an arithmetic number, because the mean of its divisors is an integer number (734160).

Almost surely, 214430220 is an apocalyptic number.

14430220 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 14430220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17619840).

14430220 is an abundant number, since it is smaller than the sum of its proper divisors (20809460).

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

14430220 is a wasteful number, since it uses less digits than its factorization.

14430220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822 (or 1820 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 14430220 is about 3798.7129399311. The cubic root of 14430220 is about 243.4581499305.

Adding to 14430220 its reverse (2203441), we get a palindrome (16633661).

The spelling of 14430220 in words is "fourteen million, four hundred thirty thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 59 70 118 140 236 295 413 590 826 1180 1652 1747 2065 3494 4130 6988 8260 8735 12229 17470 24458 34940 48916 61145 103073 122290 206146 244580 412292 515365 721511 1030730 1443022 2061460 2886044 3607555 7215110 14430220