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226080582 = 237131923137
BaseRepresentation
bin11010111100110…
…11011101000110
3120202102002020220
431132123131012
5430334034312
634233405210
75413440030
oct1536333506
9522362226
10226080582
11106686762
1263869806
1337ab92c0
1422050c50
1514cabc8c
hexd79b746

226080582 has 192 divisors, whose sum is σ = 622669824. Its totient is φ = 53187840.

The previous prime is 226080577. The next prime is 226080583. The reversal of 226080582 is 285080622.

It is a super-2 number, since 2×2260805822 = 102224859114917448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226080583) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 6110268 + ... + 6110304.

It is an arithmetic number, because the mean of its divisors is an integer number (3243072).

Almost surely, 2226080582 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226080582, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311334912).

226080582 is an abundant number, since it is smaller than the sum of its proper divisors (396589242).

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

226080582 is a wasteful number, since it uses less digits than its factorization.

226080582 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 226080582 is about 15035.9762569645. The cubic root of 226080582 is about 609.1923217209.

The spelling of 226080582 in words is "two hundred twenty-six million, eighty thousand, five hundred eighty-two".