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2250539424 = 253372175359
BaseRepresentation
bin1000011000100100…
…1000000110100000
312210211210020201000
42012021020012200
514102114230144
61011152512000
7106525161300
oct20611100640
95724706630
102250539424
11a55409641
1252984b600
1329b348443
14174c75600
15d28a1769
hex862481a0

2250539424 has 576 divisors, whose sum is σ = 8377084800. Its totient is φ = 583704576.

The previous prime is 2250539387. The next prime is 2250539449. The reversal of 2250539424 is 4249350522.

2250539424 is a `hidden beast` number, since 225 + 0 + 5 + 3 + 9 + 424 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38144707 + ... + 38144765.

It is an arithmetic number, because the mean of its divisors is an integer number (14543550).

Almost surely, 22250539424 is an apocalyptic number.

2250539424 is a gapful number since it is divisible by the number (24) 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 2250539424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4188542400).

2250539424 is an abundant number, since it is smaller than the sum of its proper divisors (6126545376).

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

2250539424 is a wasteful number, since it uses less digits than its factorization.

2250539424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2250539424 is about 47439.8505899839. The cubic root of 2250539424 is about 1310.4754065745.

Adding to 2250539424 its reverse (4249350522), we get a palindrome (6499889946).

The spelling of 2250539424 in words is "two billion, two hundred fifty million, five hundred thirty-nine thousand, four hundred twenty-four".