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2252457568 = 25178946523
BaseRepresentation
bin1000011001000001…
…1100011001100000
312210222101200220101
42012100130121200
514103112120233
61011301552144
7106550400454
oct20620343140
95728350811
102252457568
11a564a9789
1252a415654
1329b86a53a
14175214664
15d2b2ec7d
hex8641c660

2252457568 has 48 divisors (see below), whose sum is σ = 4748239440. Its totient is φ = 1048047616.

The previous prime is 2252457541. The next prime is 2252457583. The reversal of 2252457568 is 8657542522.

It is a congruent number.

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, 25155 + ... + 71677.

It is an arithmetic number, because the mean of its divisors is an integer number (98921655).

Almost surely, 22252457568 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 2252457568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2374119720).

2252457568 is an abundant number, since it is smaller than the sum of its proper divisors (2495781872).

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

2252457568 is a wasteful number, since it uses less digits than its factorization.

2252457568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46639 (or 46631 counting only the distinct ones).

The product of its digits is 1344000, while the sum is 46.

The square root of 2252457568 is about 47460.0628739575. The cubic root of 2252457568 is about 1310.8476087096.

The spelling of 2252457568 in words is "two billion, two hundred fifty-two million, four hundred fifty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 68 89 136 178 272 356 544 712 1424 1513 2848 3026 6052 12104 24208 46523 48416 93046 186092 372184 744368 790891 1488736 1581782 3163564 4140547 6327128 8281094 12654256 16562188 25308512 33124376 66248752 70389299 132497504 140778598 281557196 563114392 1126228784 2252457568