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2246288928 = 2531323139563
BaseRepresentation
bin1000010111100011…
…1010011000100000
312210112210022010020
42011320322120200
514100022221203
61010521433440
7106444066212
oct20570723040
95715708106
102246288928
11a52a76134
1252833b880
1329a4ba860
1417448a5b2
15d2312153
hex85e3a620

2246288928 has 192 divisors, whose sum is σ = 6685701120. Its totient is φ = 655193088.

The previous prime is 2246288899. The next prime is 2246288939. The reversal of 2246288928 is 8298826422.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3989575 + ... + 3990137.

It is an arithmetic number, because the mean of its divisors is an integer number (34821360).

Almost surely, 22246288928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2246288928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3342850560).

2246288928 is an abundant number, since it is smaller than the sum of its proper divisors (4439412192).

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

2246288928 is a wasteful number, since it uses less digits than its factorization.

2246288928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 743 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 51.

The square root of 2246288928 is about 47395.0306255835. The cubic root of 2246288928 is about 1309.6498739916.

The spelling of 2246288928 in words is "two billion, two hundred forty-six million, two hundred eighty-eight thousand, nine hundred twenty-eight".