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2291819680 = 25514323873
BaseRepresentation
bin1000100010011010…
…0110010010100000
312220201110111120101
42020212212102200
514143201212210
61015225352144
7110536101013
oct21046462240
95821414511
102291819680
11a76744057
1253b638654
132a6a6c927
1417a53d37a
15d6307a3a
hex889a64a0

2291819680 has 24 divisors (see below), whose sum is σ = 5414424372. Its totient is φ = 916727808.

The previous prime is 2291819617. The next prime is 2291819711. The reversal of 2291819680 is 869181922.

It can be written as a sum of positive squares in 2 ways, for example, as 2281399696 + 10419984 = 47764^2 + 3228^2 .

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 self number, because there is not a number n which added to its sum of digits gives 2291819680.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7161777 + ... + 7162096.

Almost surely, 22291819680 is an apocalyptic number.

2291819680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2291819680 is an abundant number, since it is smaller than the sum of its proper divisors (3122604692).

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

2291819680 is a wasteful number, since it uses less digits than its factorization.

2291819680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14323888 (or 14323880 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 46.

The square root of 2291819680 is about 47872.9535332843. The cubic root of 2291819680 is about 1318.4393247629.

The spelling of 2291819680 in words is "two billion, two hundred ninety-one million, eight hundred nineteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 14323873 28647746 57295492 71619365 114590984 143238730 229181968 286477460 458363936 572954920 1145909840 2291819680