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2291434964 = 22713173671009
BaseRepresentation
bin1000100010010100…
…1000010111010100
312220200201221211122
42020211020113110
514143101404324
61015213223112
7110532606260
oct21045102724
95820657748
102291434964
11a76501005
1253b491a98
132a69667a0
1417a47d0a0
15d627da5e
hex889485d4

2291434964 has 96 divisors (see below), whose sum is σ = 5245148160. Its totient is φ = 850010112.

The previous prime is 2291434963. The next prime is 2291434987. The reversal of 2291434964 is 4694341922.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2291434963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2270492 + ... + 2271500.

It is an arithmetic number, because the mean of its divisors is an integer number (54636960).

Almost surely, 22291434964 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 2291434964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2622574080).

2291434964 is an abundant number, since it is smaller than the sum of its proper divisors (2953713196).

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

2291434964 is a wasteful number, since it uses less digits than its factorization.

With its successor (2291434965) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (1415).

With its successor (2291434965) it forms an eRAP, since the sums of their prime factors are consecutive (1417 and 1418).

2291434964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417 (or 1415 counting only the distinct ones).

The product of its digits is 373248, while the sum is 44.

The square root of 2291434964 is about 47868.9352712174. The cubic root of 2291434964 is about 1318.3655474217.

The spelling of 2291434964 in words is "two billion, two hundred ninety-one million, four hundred thirty-four thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 13 14 17 26 28 34 52 68 91 119 182 221 238 364 367 442 476 734 884 1009 1468 1547 2018 2569 3094 4036 4771 5138 6188 6239 7063 9542 10276 12478 13117 14126 17153 19084 24956 26234 28252 33397 34306 43673 52468 66794 68612 81107 87346 91819 120071 133588 162214 174692 183638 222989 240142 324428 367276 370303 445978 480284 567749 740606 891956 1135498 1481212 1560923 2270996 2592121 3121846 4813939 5184242 6243692 6295151 9627878 10368484 12590302 19255756 25180604 33697573 44066057 67395146 81836963 88132114 134790292 163673926 176264228 327347852 572858741 1145717482 2291434964