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2256124344 = 233437927673
BaseRepresentation
bin1000011001111001…
…1011100110111000
312211020021222202220
42012132123212320
514110031434334
61011512324040
7106623511665
oct20636334670
95736258686
102256124344
11a58583681
1252b6a3620
1329c552526
141758caa6c
15d3106449
hex8679b9b8

2256124344 has 64 divisors (see below), whose sum is σ = 5844748800. Its totient is φ = 725227776.

The previous prime is 2256124327. The next prime is 2256124369. The reversal of 2256124344 is 4434216522.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67692 + ... + 95364.

It is an arithmetic number, because the mean of its divisors is an integer number (91324200).

Almost surely, 22256124344 is an apocalyptic number.

2256124344 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 2256124344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2922374400).

2256124344 is an abundant number, since it is smaller than the sum of its proper divisors (3588624456).

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

2256124344 is a wasteful number, since it uses less digits than its factorization.

2256124344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27804 (or 27800 counting only the distinct ones).

The product of its digits is 46080, while the sum is 33.

The square root of 2256124344 is about 47498.6772868466. The cubic root of 2256124344 is about 1311.5585327484.

The spelling of 2256124344 in words is "two billion, two hundred fifty-six million, one hundred twenty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 43 79 86 129 158 172 237 258 316 344 474 516 632 948 1032 1896 3397 6794 10191 13588 20382 27176 27673 40764 55346 81528 83019 110692 166038 221384 332076 664152 1189939 2186167 2379878 3569817 4372334 4759756 6558501 7139634 8744668 9519512 13117002 14279268 17489336 26234004 28558536 52468008 94005181 188010362 282015543 376020724 564031086 752041448 1128062172 2256124344