Search a number
-
+
2282546664 = 2332113280549
BaseRepresentation
bin1000100000001100…
…1110010111101000
312220002000101101100
42020003032113220
514133312443124
61014254521400
7110364216666
oct21003162750
95802011340
102282546664
11a71490102
12538506260
132a4b73c38
14179207c36
15d55c51c9
hex880ce5e8

2282546664 has 48 divisors (see below), whose sum is σ = 6236626500. Its totient is φ = 754113024.

The previous prime is 2282546659. The next prime is 2282546677. The reversal of 2282546664 is 4666452822.

It can be written as a sum of positive squares in 2 ways, for example, as 2186310564 + 96236100 = 46758^2 + 9810^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 132139 + ... + 148410.

Almost surely, 22282546664 is an apocalyptic number.

2282546664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2282546664 is an abundant number, since it is smaller than the sum of its proper divisors (3954079836).

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

2282546664 is a wasteful number, since it uses less digits than its factorization.

2282546664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280674 (or 280667 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The square root of 2282546664 is about 47776.0051071665. The cubic root of 2282546664 is about 1316.6587257831.

The spelling of 2282546664 in words is "two billion, two hundred eighty-two million, five hundred forty-six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 113 226 339 452 678 904 1017 1356 2034 2712 4068 8136 280549 561098 841647 1122196 1683294 2244392 2524941 3366588 5049882 6733176 10099764 20199528 31702037 63404074 95106111 126808148 190212222 253616296 285318333 380424444 570636666 760848888 1141273332 2282546664