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2245186048 = 2973716931
BaseRepresentation
bin1000010111010010…
…1101001000000000
312210110201021020211
42011310231020000
514044231423143
61010442043504
7106431523630
oct20564551000
95713637224
102245186048
11a52392566
12527aa9594
1329a1c2871
141742806c0
15d219549d
hex85d2d200

2245186048 has 80 divisors (see below), whose sum is σ = 5265716544. Its totient is φ = 936161280.

The previous prime is 2245186037. The next prime is 2245186051. The reversal of 2245186048 is 8406815422.

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 2245186048.

It is an unprimeable number.

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, 124143 + ... + 141073.

Almost surely, 22245186048 is an apocalyptic number.

2245186048 is a gapful number since it is divisible by the number (28) 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 2245186048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2632858272).

2245186048 is an abundant number, since it is smaller than the sum of its proper divisors (3020530496).

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

2245186048 is an equidigital number, since it uses as much as digits as its factorization.

2245186048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16993 (or 16977 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 40.

The square root of 2245186048 is about 47383.3942220268. The cubic root of 2245186048 is about 1309.4355021764.

The spelling of 2245186048 in words is "two billion, two hundred forty-five million, one hundred eighty-six thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 112 128 148 224 256 259 296 448 512 518 592 896 1036 1184 1792 2072 2368 3584 4144 4736 8288 9472 16576 16931 18944 33152 33862 66304 67724 118517 132608 135448 237034 270896 474068 541792 626447 948136 1083584 1252894 1896272 2167168 2505788 3792544 4334336 4385129 5011576 7585088 8668672 8770258 10023152 15170176 17540516 20046304 30340352 35081032 40092608 60680704 70162064 80185216 140324128 160370432 280648256 320740864 561296512 1122593024 2245186048