Search a number
-
+
2271838540 = 2252923316811
BaseRepresentation
bin1000011101101001…
…1000000101001100
312212022212100121011
42013122120011030
514123042313130
61013233215004
7110204210656
oct20732300514
95768770534
102271838540
11a66436a14
12534a01464
132a2894c7a
14177a1b6d6
15d46ac52a
hex8769814c

2271838540 has 48 divisors (see below), whose sum is σ = 4956850080. Its totient is φ = 873582080.

The previous prime is 2271838529. The next prime is 2271838559. The reversal of 2271838540 is 458381722.

It is a happy number.

It is a super-2 number, since 2×22718385402 = 10322500703658663200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2271838493 and 2271838502.

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 15 ways as a sum of consecutive naturals, for example, 126735 + ... + 143545.

It is an arithmetic number, because the mean of its divisors is an integer number (103267710).

Almost surely, 22271838540 is an apocalyptic number.

2271838540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2271838540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2478425040).

2271838540 is an abundant number, since it is smaller than the sum of its proper divisors (2685011540).

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

2271838540 is a wasteful number, since it uses less digits than its factorization.

2271838540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17082 (or 17080 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The square root of 2271838540 is about 47663.8074433841. The cubic root of 2271838540 is about 1314.5965481501.

The spelling of 2271838540 in words is "two billion, two hundred seventy-one million, eight hundred thirty-eight thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 233 290 466 580 932 1165 2330 4660 6757 13514 16811 27028 33622 33785 67244 67570 84055 135140 168110 336220 487519 975038 1950076 2437595 3916963 4875190 7833926 9750380 15667852 19584815 39169630 78339260 113591927 227183854 454367708 567959635 1135919270 2271838540