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2290509380 = 225434336151
BaseRepresentation
bin1000100010000110…
…0110011001000100
312220121222221011202
42020201212121010
514142332300010
61015141322032
7110522002625
oct21041463104
95817887152
102290509380
11a75a29665
1253b106318
132a67013c3
1417a2bba4c
15d61496a5
hex88866644

2290509380 has 48 divisors (see below), whose sum is σ = 4934100864. Its totient is φ = 892684800.

The previous prime is 2290509379. The next prime is 2290509401. The reversal of 2290509380 is 839050922.

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 369305 + ... + 375455.

It is an arithmetic number, because the mean of its divisors is an integer number (102793768).

Almost surely, 22290509380 is an apocalyptic number.

2290509380 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 2290509380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2467050432).

2290509380 is an abundant number, since it is smaller than the sum of its proper divisors (2643591484).

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

2290509380 is a wasteful number, since it uses less digits than its factorization.

2290509380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6636 (or 6634 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 2290509380 is about 47859.2663963835. The cubic root of 2290509380 is about 1318.1880134873.

The spelling of 2290509380 in words is "two billion, two hundred ninety million, five hundred nine thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 433 860 866 1732 2165 4330 6151 8660 12302 18619 24604 30755 37238 61510 74476 93095 123020 186190 264493 372380 528986 1057972 1322465 2644930 2663383 5289860 5326766 10653532 13316915 26633830 53267660 114525469 229050938 458101876 572627345 1145254690 2290509380