Search a number
-
+
2291882460 = 223575456863
BaseRepresentation
bin1000100010011011…
…0101100111011100
312220201120200200120
42020212311213130
514143210214320
61015230554540
7110536452030
oct21046654734
95821520616
102291882460
11a7678723a
1253b668a50
132a6a9238a
1417a5581c0
15d631b440
hex889b59dc

2291882460 has 48 divisors (see below), whose sum is σ = 7334025216. Its totient is φ = 523858752.

The previous prime is 2291882459. The next prime is 2291882473. The reversal of 2291882460 is 642881922.

2291882460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2728012 + ... + 2728851.

It is an arithmetic number, because the mean of its divisors is an integer number (152792192).

Almost surely, 22291882460 is an apocalyptic number.

2291882460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2291882460 is an abundant number, since it is smaller than the sum of its proper divisors (5042142756).

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

2291882460 is a wasteful number, since it uses less digits than its factorization.

2291882460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5456882 (or 5456880 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 2291882460 is about 47873.6092226187. The cubic root of 2291882460 is about 1318.4513633577.

The spelling of 2291882460 in words is "two billion, two hundred ninety-one million, eight hundred eighty-two thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 5456863 10913726 16370589 21827452 27284315 32741178 38198041 54568630 65482356 76396082 81852945 109137260 114594123 152792164 163705890 190990205 229188246 327411780 381980410 458376492 572970615 763960820 1145941230 2291882460