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2290735540 = 225601190577
BaseRepresentation
bin1000100010001001…
…1101100110110100
312220122102102102001
42020202131212310
514142412014130
61015150225044
7110523634162
oct21042354664
95818372361
102290735540
11a76073575
1253b1b5184
132a6780322
1417a33a232
15d61916ca
hex8889d9b4

2290735540 has 24 divisors (see below), whose sum is σ = 4818574152. Its totient is φ = 914764800.

The previous prime is 2290735487. The next prime is 2290735541. The reversal of 2290735540 is 455370922.

It can be written as a sum of positive squares in 4 ways, for example, as 222487056 + 2068248484 = 14916^2 + 45478^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2290735540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2290735541) 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, 83269 + ... + 107308.

It is an arithmetic number, because the mean of its divisors is an integer number (200773923).

Almost surely, 22290735540 is an apocalyptic number.

2290735540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2290735540 is an abundant number, since it is smaller than the sum of its proper divisors (2527838612).

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

2290735540 is a wasteful number, since it uses less digits than its factorization.

2290735540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191187 (or 191185 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 37.

The square root of 2290735540 is about 47861.6290988930. The cubic root of 2290735540 is about 1318.2313970817.

The spelling of 2290735540 in words is "two billion, two hundred ninety million, seven hundred thirty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 601 1202 2404 3005 6010 12020 190577 381154 762308 952885 1905770 3811540 114536777 229073554 458147108 572683885 1145367770 2290735540