Search a number
-
+
249225138 = 232614
BaseRepresentation
bin11101101101011…
…01111110110010
3122100221221121200
432312231332302
51002300201023
640421432030
76114243621
oct1666557662
9570857550
10249225138
11118754598
126b56b616
133c830ac6
14251576b8
1516d2e743
hexedadfb2

249225138 has 30 divisors (see below), whose sum is σ = 548987595. Its totient is φ = 81713160.

The previous prime is 249225127. The next prime is 249225143. The reversal of 249225138 is 831522942.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 41951529 + 207273609 = 6477^2 + 14397^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=11163.

It is a super-2 number, since 2×2492251382 = 124226338822238088, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4085628 + ... + 4085688.

Almost surely, 2249225138 is an apocalyptic number.

249225138 is an abundant number, since it is smaller than the sum of its proper divisors (299762457).

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

249225138 is an frugal number, since it uses more digits than its factorization.

249225138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 66 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 249225138 is about 15786.8659967709. The cubic root of 249225138 is about 629.3090080725.

The spelling of 249225138 in words is "two hundred forty-nine million, two hundred twenty-five thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 61 122 183 366 549 1098 3721 7442 11163 22326 33489 66978 226981 453962 680943 1361886 2042829 4085658 13845841 27691682 41537523 83075046 124612569 249225138