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2242595328 = 29310091447
BaseRepresentation
bin1000010110101011…
…0100101000000000
312210021211122110020
42011222310220000
514043101022303
61010310333440
7106400513541
oct20552645000
95707748406
102242595328
11a50983076
1252705a280
132997c65ac
14173ba84c8
15d1d32a53
hex85ab4a00

2242595328 has 80 divisors (see below), whose sum is σ = 5984468160. Its totient is φ = 746274816.

The previous prime is 2242595323. The next prime is 2242595339. The reversal of 2242595328 is 8235952422.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2242595328.

It is not an unprimeable number, because it can be changed into a prime (2242595323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1549101 + ... + 1550547.

It is an arithmetic number, because the mean of its divisors is an integer number (74805852).

Almost surely, 22242595328 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 2242595328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2992234080).

2242595328 is an abundant number, since it is smaller than the sum of its proper divisors (3741872832).

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

2242595328 is a wasteful number, since it uses less digits than its factorization.

2242595328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2477 (or 2461 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The square root of 2242595328 is about 47356.0484837998. The cubic root of 2242595328 is about 1308.9316558237.

The spelling of 2242595328 in words is "two billion, two hundred forty-two million, five hundred ninety-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1009 1447 1536 2018 2894 3027 4036 4341 5788 6054 8072 8682 11576 12108 16144 17364 23152 24216 32288 34728 46304 48432 64576 69456 92608 96864 129152 138912 185216 193728 258304 277824 370432 387456 516608 555648 740864 774912 1111296 1460023 1549824 2222592 2920046 4380069 5840092 8760138 11680184 17520276 23360368 35040552 46720736 70081104 93441472 140162208 186882944 280324416 373765888 560648832 747531776 1121297664 2242595328