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2144424256 = 261329314761
BaseRepresentation
bin111111111010001…
…0101000101000000
312112110010001001121
41333310111011000
513342433034011
6552442242024
7104066206522
oct17764250500
95473101047
102144424256
11a00520757
124ba1b6314
132823733c0
14164b31a12
15c83dee71
hex7fd15140

2144424256 has 224 divisors, whose sum is σ = 5079674880. Its totient is φ = 890265600.

The previous prime is 2144424229. The next prime is 2144424263. The reversal of 2144424256 is 6524244412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35154466 + ... + 35154526.

It is an arithmetic number, because the mean of its divisors is an integer number (22677120).

Almost surely, 22144424256 is an apocalyptic number.

2144424256 is a gapful number since it is divisible by the number (26) 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 2144424256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2539837440).

2144424256 is an abundant number, since it is smaller than the sum of its proper divisors (2935250624).

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

2144424256 is a wasteful number, since it uses less digits than its factorization.

2144424256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 183 counting only the distinct ones).

The product of its digits is 61440, while the sum is 34.

The square root of 2144424256 is about 46307.9286515819. The cubic root of 2144424256 is about 1289.5461929576.

Adding to 2144424256 its reverse (6524244412), we get a palindrome (8668668668).

The spelling of 2144424256 in words is "two billion, one hundred forty-four million, four hundred twenty-four thousand, two hundred fifty-six".