Search a number
-
+
2332554640 = 245132242841
BaseRepresentation
bin1000101100000111…
…1111010110010000
320000120010001102121
42023001333112100
514234113222030
61023242424024
7111542246563
oct21301772620
96016101377
102332554640
11a97736909
12551202014
132b2332b60
14181b044da
15d9ba247a
hex8b07f590

2332554640 has 40 divisors (see below), whose sum is σ = 5840360568. Its totient is φ = 861250560.

The previous prime is 2332554559. The next prime is 2332554667. The reversal of 2332554640 is 464552332.

It can be written as a sum of positive squares in 4 ways, for example, as 298183824 + 2034370816 = 17268^2 + 45104^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×23325546402 = 10881622297171059200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2332554596 and 2332554605.

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, 1120381 + ... + 1122460.

Almost surely, 22332554640 is an apocalyptic number.

2332554640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2332554640 is an abundant number, since it is smaller than the sum of its proper divisors (3507805928).

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

2332554640 is a wasteful number, since it uses less digits than its factorization.

2332554640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2242867 (or 2242861 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 34.

The square root of 2332554640 is about 48296.5282396157. The cubic root of 2332554640 is about 1326.2048402481.

The spelling of 2332554640 in words is "two billion, three hundred thirty-two million, five hundred fifty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 2242841 4485682 8971364 11214205 17942728 22428410 29156933 35885456 44856820 58313866 89713640 116627732 145784665 179427280 233255464 291569330 466510928 583138660 1166277320 2332554640