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2241315340 = 2251117358889
BaseRepresentation
bin1000010110010111…
…1100001000001100
312210012102121122021
42011211330020030
514042234042330
61010223055524
7106353603025
oct20545741014
95705377567
102241315340
11a50189430
125267415a4
13299468ac4
14173953c4c
15d1b7d67a
hex8597c20c

2241315340 has 48 divisors (see below), whose sum is σ = 5164417440. Its totient is φ = 810298880.

The previous prime is 2241315331. The next prime is 2241315347. The reversal of 2241315340 is 435131422.

It is not an unprimeable number, because it can be changed into a prime (2241315347) by changing a digit.

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, 8616 + ... + 67504.

It is an arithmetic number, because the mean of its divisors is an integer number (107592030).

Almost surely, 22241315340 is an apocalyptic number.

2241315340 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 2241315340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2582208720).

2241315340 is an abundant number, since it is smaller than the sum of its proper divisors (2923102100).

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

2241315340 is a wasteful number, since it uses less digits than its factorization.

2241315340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59082 (or 59080 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 2241315340 is about 47342.5320404391. The cubic root of 2241315340 is about 1308.6825789845.

Adding to 2241315340 its reverse (435131422), we get a palindrome (2676446762).

The spelling of 2241315340 in words is "two billion, two hundred forty-one million, three hundred fifteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 173 220 346 692 865 1730 1903 3460 3806 7612 9515 19030 38060 58889 117778 235556 294445 588890 647779 1177780 1295558 2591116 3238895 6477790 10187797 12955580 20375594 40751188 50938985 101877970 112065767 203755940 224131534 448263068 560328835 1120657670 2241315340