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2284933456 = 241353207269
BaseRepresentation
bin1000100000110001…
…0101000101010000
312220020111122110001
42020030111011100
514134420332311
61014422015344
7110423420401
oct21014250520
95806448401
102284933456
11a72870363
12539277554
132a54cb440
141796699a8
15d58e74c1
hex88315150

2284933456 has 40 divisors (see below), whose sum is σ = 4857579720. Its totient is φ = 1034681856.

The previous prime is 2284933421. The next prime is 2284933457. The reversal of 2284933456 is 6543394822.

It can be written as a sum of positive squares in 4 ways, for example, as 2005056 + 2282928400 = 1416^2 + 47780^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2284933457) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92611 + ... + 114658.

It is an arithmetic number, because the mean of its divisors is an integer number (121439493).

Almost surely, 22284933456 is an apocalyptic number.

2284933456 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2284933456 is an abundant number, since it is smaller than the sum of its proper divisors (2572646264).

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

2284933456 is a wasteful number, since it uses less digits than its factorization.

2284933456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207343 (or 207337 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 46.

The square root of 2284933456 is about 47800.9775632256. The cubic root of 2284933456 is about 1317.1174963641.

The spelling of 2284933456 in words is "two billion, two hundred eighty-four million, nine hundred thirty-three thousand, four hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 52 53 104 106 208 212 424 689 848 1378 2756 5512 11024 207269 414538 829076 1658152 2694497 3316304 5388994 10777988 10985257 21555976 21970514 43111952 43941028 87882056 142808341 175764112 285616682 571233364 1142466728 2284933456