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2245544568 = 233247976841
BaseRepresentation
bin1000010111011000…
…0100101001111000
312210111101111001100
42011312010221320
514044324411233
61010453451400
7106434546111
oct20566045170
95714344040
102245544568
11a52607963
12528040b60
1329a2b9ac7
14174335208
15d2216813
hex85d84a78

2245544568 has 96 divisors (see below), whose sum is σ = 6276029760. Its totient is φ = 724930560.

The previous prime is 2245544563. The next prime is 2245544591. The reversal of 2245544568 is 8654455422.

2245544568 is a `hidden beast` number, since 2 + 2 + 45 + 5 + 44 + 568 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2245544563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 324828 + ... + 331668.

It is an arithmetic number, because the mean of its divisors is an integer number (65375310).

Almost surely, 22245544568 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 2245544568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3138014880).

2245544568 is an abundant number, since it is smaller than the sum of its proper divisors (4030485192).

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

2245544568 is a wasteful number, since it uses less digits than its factorization.

2245544568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6997 (or 6990 counting only the distinct ones).

The product of its digits is 1536000, while the sum is 45.

The square root of 2245544568 is about 47387.1772529236. The cubic root of 2245544568 is about 1309.5051970436.

The spelling of 2245544568 in words is "two billion, two hundred forty-five million, five hundred forty-four thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 97 141 188 194 282 291 376 388 423 564 582 776 846 873 1128 1164 1692 1746 2328 3384 3492 4559 6841 6984 9118 13677 13682 18236 20523 27354 27364 36472 41031 41046 54708 54728 61569 82062 82092 109416 123138 164124 164184 246276 321527 328248 492552 643054 663577 964581 1286108 1327154 1929162 1990731 2572216 2654308 2893743 3858324 3981462 5308616 5787486 5972193 7716648 7962924 11574972 11944386 15925848 23149944 23888772 31188119 47777544 62376238 93564357 124752476 187128714 249504952 280693071 374257428 561386142 748514856 1122772284 2245544568