Search a number
-
+
1328822568 = 233218455869
BaseRepresentation
bin100111100110100…
…0011100100101000
310102121102011212200
41033031003210220
510210134310233
6335505140200
744633543163
oct11715034450
93377364780
101328822568
116220a4077
1231102a660
131823ba058
14c86a4ada
157b9d5313
hex4f343928

1328822568 has 24 divisors (see below), whose sum is σ = 3598894650. Its totient is φ = 442940832.

The previous prime is 1328822567. The next prime is 1328822617. The reversal of 1328822568 is 8652288231.

1328822568 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 82 + 2 + 568 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1305955044 + 22867524 = 36138^2 + 4782^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×13288225682 = 3531538834452229248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1328822567) 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, 9227863 + ... + 9228006.

Almost surely, 21328822568 is an apocalyptic number.

1328822568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1328822568 is an abundant number, since it is smaller than the sum of its proper divisors (2270072082).

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

1328822568 is a wasteful number, since it uses less digits than its factorization.

1328822568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18455881 (or 18455874 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 1328822568 is about 36453.0186404364. The cubic root of 1328822568 is about 1099.3998290742.

The spelling of 1328822568 in words is "one billion, three hundred twenty-eight million, eight hundred twenty-two thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 18455869 36911738 55367607 73823476 110735214 147646952 166102821 221470428 332205642 442940856 664411284 1328822568