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2290469280 = 253511461941
BaseRepresentation
bin1000100010000101…
…1100100110100000
312220121220220011120
42020201130212200
514142330004110
61015140412240
7110521445001
oct21041344640
95817826146
102290469280
11a75a01520
1253b0a7080
132a66b9088
1417a2ab1a8
15d613c870
hex8885c9a0

2290469280 has 192 divisors, whose sum is σ = 7896341376. Its totient is φ = 553472000.

The previous prime is 2290469263. The next prime is 2290469287. The reversal of 2290469280 is 829640922.

It is not an unprimeable number, because it can be changed into a prime (2290469287) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2433610 + ... + 2434550.

It is an arithmetic number, because the mean of its divisors is an integer number (41126778).

Almost surely, 22290469280 is an apocalyptic number.

2290469280 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 2290469280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3948170688).

2290469280 is an abundant number, since it is smaller than the sum of its proper divisors (5605872096).

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

2290469280 is a wasteful number, since it uses less digits than its factorization.

2290469280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1431 (or 1423 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 2290469280 is about 47858.8474579152. The cubic root of 2290469280 is about 1318.1803209265.

The spelling of 2290469280 in words is "two billion, two hundred ninety million, four hundred sixty-nine thousand, two hundred eighty".