Search a number
-
+
249000237 = 345952103
BaseRepresentation
bin11101101011101…
…11000100101101
3122100112112010000
432311313010231
51002221001422
640412534513
76112316133
oct1665670455
9570475100
10249000237
11118610622
126b481439
133c782625
14250d9753
1516cd7cac
hexed7712d

249000237 has 20 divisors (see below), whose sum is σ = 378275040. Its totient is φ = 163183464.

The previous prime is 249000233. The next prime is 249000281. The reversal of 249000237 is 732000942.

It is not a de Polignac number, because 249000237 - 22 = 249000233 is a prime.

It is a super-2 number, since 2×2490002372 = 124002236052112338, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 249000237.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249000233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21273 + ... + 30830.

It is an arithmetic number, because the mean of its divisors is an integer number (18913752).

Almost surely, 2249000237 is an apocalyptic number.

249000237 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

249000237 is a deficient number, since it is larger than the sum of its proper divisors (129274803).

249000237 is an equidigital number, since it uses as much as digits as its factorization.

249000237 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52174 (or 52165 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 249000237 is about 15779.7413476901. The cubic root of 249000237 is about 629.1196547557.

The spelling of 249000237 in words is "two hundred forty-nine million, two hundred thirty-seven", and thus it is an aban number.

Divisors: 1 3 9 27 59 81 177 531 1593 4779 52103 156309 468927 1406781 3074077 4220343 9222231 27666693 83000079 249000237