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18232272 = 2432126613
BaseRepresentation
bin100010110001…
…1001111010000
31021022021222100
41011203033100
514131413042
61450440400
7310654212
oct105431720
937267870
1018232272
11a3231a3
126133100
133a14936
1425c85b2
15190224c
hex11633d0

18232272 has 30 divisors (see below), whose sum is σ = 51025442. Its totient is φ = 6077376.

The previous prime is 18232259. The next prime is 18232289. The reversal of 18232272 is 27223281.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 11451456 + 6780816 = 3384^2 + 2604^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 63163 + ... + 63450.

Almost surely, 218232272 is an apocalyptic number.

18232272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

18232272 is an abundant number, since it is smaller than the sum of its proper divisors (32793170).

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

18232272 is a wasteful number, since it uses less digits than its factorization.

18232272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126627 (or 126618 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 18232272 is about 4269.9264630670. The cubic root of 18232272 is about 263.1965933601.

It can be divided in two parts, 1823 and 2272, that added together give a triangular number (4095 = T90).

The spelling of 18232272 in words is "eighteen million, two hundred thirty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 126613 253226 379839 506452 759678 1012904 1139517 1519356 2025808 2279034 3038712 4558068 6077424 9116136 18232272