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2230597440 = 26345471831
BaseRepresentation
bin1000010011110100…
…0011011101000000
312202110021002110000
42010331003131000
514032013104230
61005201240000
7106163523351
oct20475033500
95673232400
102230597440
11a45128965
12523033000
13297185556
14172363d28
15d0c62b60
hex84f43740

2230597440 has 280 divisors, whose sum is σ = 8107875072. Its totient is φ = 581852160.

The previous prime is 2230597409. The next prime is 2230597441. The reversal of 2230597440 is 447950322.

2230597440 is a `hidden beast` number, since 2 + 23 + 0 + 597 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2230597395 and 2230597404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2230597441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1217325 + ... + 1219155.

Almost surely, 22230597440 is an apocalyptic number.

2230597440 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 2230597440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4053937536).

2230597440 is an abundant number, since it is smaller than the sum of its proper divisors (5877277632).

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

2230597440 is a wasteful number, since it uses less digits than its factorization.

2230597440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1907 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2230597440 is about 47229.2011365850. The cubic root of 2230597440 is about 1306.5932186028.

The spelling of 2230597440 in words is "two billion, two hundred thirty million, five hundred ninety-seven thousand, four hundred forty".