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2238327 = 33713911
BaseRepresentation
bin1000100010011101110111
311012201102000
420202131313
51033111302
6115550343
725011510
oct10423567
94181360
102238327
111299763
128bb3b3
13604a70
14423a07
152e331c
hex222777

2238327 has 32 divisors (see below), whose sum is σ = 4085760. Its totient is φ = 1179360.

The previous prime is 2238323. The next prime is 2238347. The reversal of 2238327 is 7238322.

2238327 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2238327 - 22 = 2238323 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 23 + 211 + 3 + 8 + 313 + 219 + 76 .

2238327 is strictly pandigital in base 8.

It is a plaindrome in base 16.

It is a zygodrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 2238327.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2238323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2002 + ... + 2912.

It is an arithmetic number, because the mean of its divisors is an integer number (127680).

22238327 is an apocalyptic number.

2238327 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2238327 is a deficient number, since it is larger than the sum of its proper divisors (1847433).

2238327 is a wasteful number, since it uses less digits than its factorization.

2238327 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 934 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 2238327 is about 1496.1039402394. The cubic root of 2238327 is about 130.8100699258.

The spelling of 2238327 in words is "two million, two hundred thirty-eight thousand, three hundred twenty-seven".

Divisors: 1 3 7 9 13 21 27 39 63 91 117 189 273 351 819 911 2457 2733 6377 8199 11843 19131 24597 35529 57393 82901 106587 172179 248703 319761 746109 2238327