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2290481080 = 235471378893
BaseRepresentation
bin1000100010000101…
…1111011110111000
312220121221111100121
42020201133132320
514142330343310
61015140543024
7110521524256
oct21041373670
95817844317
102290481080
11a75a0a378
1253b0b1a74
132a66c1564
1417a2b15d6
15d61410da
hex8885f7b8

2290481080 has 64 divisors (see below), whose sum is σ = 5302247040. Its totient is φ = 890053632.

The previous prime is 2290481057. The next prime is 2290481093. The reversal of 2290481080 is 801840922.

2290481080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253114 + ... + 262006.

It is an arithmetic number, because the mean of its divisors is an integer number (82847610).

Almost surely, 22290481080 is an apocalyptic number.

2290481080 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 2290481080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2651123520).

2290481080 is an abundant number, since it is smaller than the sum of its proper divisors (3011765960).

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

2290481080 is a wasteful number, since it uses less digits than its factorization.

2290481080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9088 (or 9084 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 2290481080 is about 47858.9707369475. The cubic root of 2290481080 is about 1318.1825845821.

The spelling of 2290481080 in words is "two billion, two hundred ninety million, four hundred eighty-one thousand, eighty".

Divisors: 1 2 4 5 8 10 20 40 47 94 137 188 235 274 376 470 548 685 940 1096 1370 1880 2740 5480 6439 8893 12878 17786 25756 32195 35572 44465 51512 64390 71144 88930 128780 177860 257560 355720 417971 835942 1218341 1671884 2089855 2436682 3343768 4179710 4873364 6091705 8359420 9746728 12183410 16718840 24366820 48733640 57262027 114524054 229048108 286310135 458096216 572620270 1145240540 2290481080