Search a number
-
+
2255043232 = 251344912073
BaseRepresentation
bin1000011001101001…
…0011101010100000
312211011021001202201
42012122103222200
514104242340412
61011433222544
7106611360031
oct20632235240
95734231681
102255043232
11a57a053a2
1252b261a54
1329c264410
141756c8a88
15d2e90e57
hex86693aa0

2255043232 has 48 divisors (see below), whose sum is σ = 4792170600. Its totient is φ = 1038385152.

The previous prime is 2255043227. The next prime is 2255043233. The reversal of 2255043232 is 2323405522.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 973689616 + 1281353616 = 31204^2 + 35796^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2255043232.

It is not an unprimeable number, because it can be changed into a prime (2255043233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 180748 + ... + 192820.

Almost surely, 22255043232 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 2255043232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2396085300).

2255043232 is an abundant number, since it is smaller than the sum of its proper divisors (2537127368).

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

2255043232 is a wasteful number, since it uses less digits than its factorization.

2255043232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12545 (or 12537 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 28.

The square root of 2255043232 is about 47487.2954799492. The cubic root of 2255043232 is about 1311.3490040759.

Adding to 2255043232 its reverse (2323405522), we get a palindrome (4578448754).

The spelling of 2255043232 in words is "two billion, two hundred fifty-five million, forty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 449 898 1796 3592 5837 7184 11674 12073 14368 23348 24146 46696 48292 93392 96584 156949 186784 193168 313898 386336 627796 1255592 2511184 5022368 5420777 10841554 21683108 43366216 70470101 86732432 140940202 173464864 281880404 563760808 1127521616 2255043232