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14230100 = 2252232269
BaseRepresentation
bin110110010010…
…001001010100
3222202222000202
4312102021110
512120330400
61225000032
7231645113
oct66221124
928688022
1014230100
11803a315
124923018
132c430a1
141c65c7a
1513b14d5
hexd92254

14230100 has 54 divisors (see below), whose sum is σ = 32400270. Its totient is φ = 5424320.

The previous prime is 14230093. The next prime is 14230103. The reversal of 14230100 is 103241.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2116 + 14227984 = 46^2 + 3772^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14230103) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 52766 + ... + 53034.

It is an arithmetic number, because the mean of its divisors is an integer number (600005).

Almost surely, 214230100 is an apocalyptic number.

14230100 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 14230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16200135).

14230100 is an abundant number, since it is smaller than the sum of its proper divisors (18170170).

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

14230100 is a wasteful number, since it uses less digits than its factorization.

14230100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 14230100 is about 3772.2804773770. The cubic root of 14230100 is about 242.3274714297.

Adding to 14230100 its reverse (103241), we get a palindrome (14333341).

The spelling of 14230100 in words is "fourteen million, two hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 269 460 529 538 575 1058 1076 1150 1345 2116 2300 2645 2690 5290 5380 6187 6725 10580 12374 13225 13450 24748 26450 26900 30935 52900 61870 123740 142301 154675 284602 309350 569204 618700 711505 1423010 2846020 3557525 7115050 14230100