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225043245232 = 24131997587053
BaseRepresentation
bin1101000110010110011…
…1110110100010110000
3210111212122120100121121
43101211213312202300
512141342032321412
6251214453432024
722154532010531
oct3214547664260
9714778510547
10225043245232
1187493054a93
123774663b614
13182b57b7390
14ac6c0c4688
155cc1d3a107
hex34659f68b0

225043245232 has 80 divisors (see below), whose sum is σ = 499371614560. Its totient is φ = 97384882176.

The previous prime is 225043245197. The next prime is 225043245233. The reversal of 225043245232 is 232542340522.

225043245232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (225043245233) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 89818 + ... + 676870.

It is an arithmetic number, because the mean of its divisors is an integer number (6242145182).

Almost surely, 2225043245232 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 225043245232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249685807280).

225043245232 is an abundant number, since it is smaller than the sum of its proper divisors (274328369328).

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

225043245232 is a wasteful number, since it uses less digits than its factorization.

225043245232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587190 (or 587184 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 34.

Adding to 225043245232 its reverse (232542340522), we get a palindrome (457585585754).

The spelling of 225043245232 in words is "two hundred twenty-five billion, forty-three million, two hundred forty-five thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 97 104 152 194 208 247 304 388 494 776 988 1261 1552 1843 1976 2522 3686 3952 5044 7372 10088 14744 20176 23959 29488 47918 95836 191672 383344 587053 1174106 2348212 4696424 7631689 9392848 11154007 15263378 22308014 30526756 44616028 56944141 61053512 89232056 113888282 122107024 145002091 178464112 227776564 290004182 455553128 580008364 740273833 911106256 1081938679 1160016728 1480547666 2163877358 2320033456 2961095332 4327754716 5922190664 8655509432 11844381328 14065202827 17311018864 28130405654 56260811308 112521622616 225043245232