Search a number
-
+
2233885696 = 210722112
BaseRepresentation
bin1000010100100110…
…0110010000000000
312202200110011002021
42011021212100000
514033333320241
61005355531224
7106233500200
oct20511462000
95680404067
102233885696
11a46a74429
12524159b14
13297a67173
1417297c400
15d11b20d1
hex85266400

2233885696 has 99 divisors (see below), whose sum is σ = 5219401707. Its totient is φ = 952842240.

The previous prime is 2233885691. The next prime is 2233885729. The reversal of 2233885696 is 6965883322.

The square root of 2233885696 is 47264.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2233885691) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10587031 + ... + 10587241.

Almost surely, 22233885696 is an apocalyptic number.

2233885696 is the 47264-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2233885696

2233885696 is an abundant number, since it is smaller than the sum of its proper divisors (2985516011).

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

2233885696 is an frugal number, since it uses more digits than its factorization.

2233885696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 220 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 52.

The cubic root of 2233885696 is about 1307.2349455593.

The spelling of 2233885696 in words is "two billion, two hundred thirty-three million, eight hundred eighty-five thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 211 224 256 392 422 448 512 784 844 896 1024 1477 1568 1688 1792 2954 3136 3376 3584 5908 6272 6752 7168 10339 11816 12544 13504 20678 23632 25088 27008 41356 44521 47264 50176 54016 82712 89042 94528 108032 165424 178084 189056 216064 311647 330848 356168 378112 623294 661696 712336 756224 1246588 1323392 1424672 1512448 2181529 2493176 2646784 2849344 4363058 4986352 5293568 5698688 8726116 9972704 10587136 11397376 17452232 19945408 22794752 34904464 39890816 45589504 69808928 79781632 139617856 159563264 279235712 319126528 558471424 1116942848 2233885696