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245122304 = 287219541
BaseRepresentation
bin11101001110001…
…00010100000000
3122002020111120212
432213010110000
51000222403204
640153453252
76034335200
oct1647042400
9562214525
10245122304
11116402019
126a111228
133ba254ab
14247aa400
15167bdc6e
hexe9c4500

245122304 has 54 divisors (see below), whose sum is σ = 569199834. Its totient is φ = 105047040.

The previous prime is 245122277. The next prime is 245122309. The reversal of 245122304 is 403221542.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 183656704 + 61465600 = 13552^2 + 7840^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 245122304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245122309) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2774 + ... + 22314.

Almost surely, 2245122304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245122304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284599917).

245122304 is an abundant number, since it is smaller than the sum of its proper divisors (324077530).

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

245122304 is an equidigital number, since it uses as much as digits as its factorization.

245122304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19571 (or 19550 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 245122304 is about 15656.3822130146. The cubic root of 245122304 is about 625.8365791303.

Adding to 245122304 its reverse (403221542), we get a palindrome (648343846).

The spelling of 245122304 in words is "two hundred forty-five million, one hundred twenty-two thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 1568 1792 3136 6272 12544 19541 39082 78164 136787 156328 273574 312656 547148 625312 957509 1094296 1250624 1915018 2188592 2501248 3830036 4377184 5002496 7660072 8754368 15320144 17508736 30640288 35017472 61280576 122561152 245122304