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2241618484 = 2272614332
BaseRepresentation
bin1000010110011100…
…0110001000110100
312210020000000110211
42011213012020310
514042323242414
61010233355204
7106356304600
oct20547061064
95706000424
102241618484
11a50376166
12526868b04
13299543a91
141739d2500
15d1bdd3c4
hex859c6234

2241618484 has 54 divisors (see below), whose sum is σ = 4648839174. Its totient is φ = 942762240.

The previous prime is 2241618469. The next prime is 2241618497. The reversal of 2241618484 is 4848161422.

It can be written as a sum of positive squares in 3 ways, for example, as 268304400 + 1973314084 = 16380^2 + 44422^2 .

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 5176732 + ... + 5177164.

Almost surely, 22241618484 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2241618484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2324419587).

2241618484 is an abundant number, since it is smaller than the sum of its proper divisors (2407220690).

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

2241618484 is an equidigital number, since it uses as much as digits as its factorization.

2241618484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 503 counting only the distinct ones).

The product of its digits is 98304, while the sum is 40.

The square root of 2241618484 is about 47345.7335353461. The cubic root of 2241618484 is about 1308.7415772849.

The spelling of 2241618484 in words is "two billion, two hundred forty-one million, six hundred eighteen thousand, four hundred eighty-four".

Divisors: 1 2 4 7 14 28 49 61 98 122 196 244 427 433 854 866 1708 1732 2989 3031 5978 6062 11956 12124 21217 26413 42434 52826 84868 105652 184891 187489 369782 374978 739564 749956 1294237 1312423 2588474 2624846 5176948 5249692 9186961 11436829 18373922 22873658 36747844 45747316 80057803 160115606 320231212 560404621 1120809242 2241618484