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2230026240 = 2153513349
BaseRepresentation
bin1000010011101011…
…1000000000000000
312202102012001220110
42010322320000000
514031341314430
61005141111320
7106155624141
oct20472700000
95672161813
102230026240
11a448787a2
125229b8540
13297015570
14172255ac8
15d0b9d7b0
hex84eb8000

2230026240 has 256 divisors, whose sum is σ = 7706916000. Its totient is φ = 547356672.

The previous prime is 2230026233. The next prime is 2230026259. The reversal of 2230026240 is 426200322.

It is a tau number, because it is divible by the number of its divisors (256).

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, 6389586 + ... + 6389934.

Almost surely, 22230026240 is an apocalyptic number.

2230026240 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 2230026240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3853458000).

2230026240 is an abundant number, since it is smaller than the sum of its proper divisors (5476889760).

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

2230026240 is an equidigital number, since it uses as much as digits as its factorization.

2230026240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2230026240 is about 47223.1536431018. The cubic root of 2230026240 is about 1306.4816805088.

Adding to 2230026240 its reverse (426200322), we get a palindrome (2656226562).

The spelling of 2230026240 in words is "two billion, two hundred thirty million, twenty-six thousand, two hundred forty".