Search a number
-
+
1229585056 = 25736714957
BaseRepresentation
bin100100101001001…
…1111101010100000
310011200200101121021
41021102133222200
510004233210211
6322002135224
742320205040
oct11122375240
93150611537
101229585056
115810834a7
122a3951514
1316798262b
14b9431720
1572e31771
hex4949faa0

1229585056 has 48 divisors (see below), whose sum is σ = 2774290176. Its totient is φ = 525494016.

The previous prime is 1229585033. The next prime is 1229585069. The reversal of 1229585056 is 6505859221.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74730 + ... + 89686.

It is an arithmetic number, because the mean of its divisors is an integer number (57797712).

Almost surely, 21229585056 is an apocalyptic number.

1229585056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1229585056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387145088).

1229585056 is an abundant number, since it is smaller than the sum of its proper divisors (1544705120).

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

1229585056 is a wasteful number, since it uses less digits than its factorization.

1229585056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15341 (or 15333 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 43.

The square root of 1229585056 is about 35065.4396236522. The cubic root of 1229585056 is about 1071.3207715526.

The spelling of 1229585056 in words is "one billion, two hundred twenty-nine million, five hundred eighty-five thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 367 734 1468 2569 2936 5138 5872 10276 11744 14957 20552 29914 41104 59828 82208 104699 119656 209398 239312 418796 478624 837592 1675184 3350368 5489219 10978438 21956876 38424533 43913752 76849066 87827504 153698132 175655008 307396264 614792528 1229585056