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2252516706 = 23211107106321
BaseRepresentation
bin1000011001000010…
…1010110101100010
312210222111201000200
42012100222311202
514103121013311
61011303130030
7106551035046
oct20620526542
95728451020
102252516706
11a5653a160
1252a443916
1329b88b42b
1417522c026
15d2b42556
hex8642ad62

2252516706 has 48 divisors (see below), whose sum is σ = 5373939168. Its totient is φ = 676195200.

The previous prime is 2252516659. The next prime is 2252516713. The reversal of 2252516706 is 6076152522.

2252516706 is a `hidden beast` number, since 22 + 52 + 516 + 70 + 6 = 666.

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 23 ways as a sum of consecutive naturals, for example, 31975 + ... + 74346.

It is an arithmetic number, because the mean of its divisors is an integer number (111957066).

Almost surely, 22252516706 is an apocalyptic number.

2252516706 is an abundant number, since it is smaller than the sum of its proper divisors (3121422462).

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

2252516706 is a wasteful number, since it uses less digits than its factorization.

2252516706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106447 (or 106444 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 2252516706 is about 47460.6858989627. The cubic root of 2252516706 is about 1310.8590806575.

The spelling of 2252516706 in words is "two billion, two hundred fifty-two million, five hundred sixteen thousand, seven hundred six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 107 198 214 321 642 963 1177 1926 2354 3531 7062 10593 21186 106321 212642 318963 637926 956889 1169531 1913778 2339062 3508593 7017186 10525779 11376347 21051558 22752694 34129041 68258082 102387123 125139817 204774246 250279634 375419451 750838902 1126258353 2252516706