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2290840760 = 2351310314273
BaseRepresentation
bin1000100010001011…
…0111010010111000
312220122121202202002
42020202313102320
514142423401020
61015152400132
7110524553015
oct21042672270
95818552662
102290840760
11a7613562a
1253b246048
132a67b91a0
1417a36670c
15d61b2975
hex888b74b8

2290840760 has 64 divisors (see below), whose sum is σ = 5557567680. Its totient is φ = 844830720.

The previous prime is 2290840757. The next prime is 2290840793. The reversal of 2290840760 is 670480922.

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, 533984 + ... + 538256.

It is an arithmetic number, because the mean of its divisors is an integer number (86836995).

Almost surely, 22290840760 is an apocalyptic number.

2290840760 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 2290840760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2778783840).

2290840760 is an abundant number, since it is smaller than the sum of its proper divisors (3266726920).

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

2290840760 is a wasteful number, since it uses less digits than its factorization.

2290840760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5328 (or 5324 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 2290840760 is about 47862.7282966611. The cubic root of 2290840760 is about 1318.2515801454.

The spelling of 2290840760 in words is "two billion, two hundred ninety million, eight hundred forty thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 1031 2062 4124 4273 5155 8248 8546 10310 13403 17092 20620 21365 26806 34184 41240 42730 53612 55549 67015 85460 107224 111098 134030 170920 222196 268060 277745 444392 536120 555490 1110980 2221960 4405463 8810926 17621852 22027315 35243704 44054630 57271019 88109260 114542038 176218520 229084076 286355095 458168152 572710190 1145420380 2290840760