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14304220 = 2257831231
BaseRepresentation
bin110110100100…
…001111011100
3222220201200221
4312210033130
512130213340
61230331124
7232404160
oct66441734
928821627
1014304220
11808aa77
124959aa4
132c6aa48
141c84ca0
1513c844a
hexda43dc

14304220 has 48 divisors (see below), whose sum is σ = 34771968. Its totient is φ = 4841280.

The previous prime is 14304217. The next prime is 14304233. The reversal of 14304220 is 2240341.

It is a super-2 number, since 2×143042202 = 409221419616800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14304194 and 14304203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11005 + ... + 12235.

It is an arithmetic number, because the mean of its divisors is an integer number (724416).

Almost surely, 214304220 is an apocalyptic number.

14304220 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 14304220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17385984).

14304220 is an abundant number, since it is smaller than the sum of its proper divisors (20467748).

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

14304220 is a wasteful number, since it uses less digits than its factorization.

14304220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 1328 counting only the distinct ones).

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

The square root of 14304220 is about 3782.0920136877. The cubic root of 14304220 is about 242.7474782513.

Adding to 14304220 its reverse (2240341), we get a palindrome (16544561).

The spelling of 14304220 in words is "fourteen million, three hundred four thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 83 140 166 332 415 581 830 1162 1231 1660 2324 2462 2905 4924 5810 6155 8617 11620 12310 17234 24620 34468 43085 86170 102173 172340 204346 408692 510865 715211 1021730 1430422 2043460 2860844 3576055 7152110 14304220