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22125224552512 = 264119343688441
BaseRepresentation
bin1010000011111011011100…
…01001100110100001000000
32220100011001221101201211011
411001331232021212201000
510344444424441140022
6115020104323530304
74442331455453614
oct501755611464100
986304057351734
1022125224552512
117060289502634
122594024b29994
13c46527263953
14566c1bc89344
152857db829977
hex141f6e266840

22125224552512 has 56 divisors (see below), whose sum is σ = 45208625027832. Its totient is φ = 10736871014400.

The previous prime is 22125224552507. The next prime is 22125224552513. The reversal of 22125224552512 is 21525542252122.

It can be written as a sum of positive squares in 4 ways, for example, as 2274136384576 + 19851088167936 = 1508024^2 + 4455456^2 .

It is a super-2 number, since 2×221252245525122 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22125224552513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21337789 + ... + 22350652.

It is an arithmetic number, because the mean of its divisors is an integer number (807296875497).

Almost surely, 222125224552512 is an apocalyptic number.

It is an amenable number.

22125224552512 is an abundant number, since it is smaller than the sum of its proper divisors (23083400475320).

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

22125224552512 is a wasteful number, since it uses less digits than its factorization.

22125224552512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43688687 (or 43688677 counting only the distinct ones).

The product of its digits is 320000, while the sum is 40.

The spelling of 22125224552512 in words is "twenty-two trillion, one hundred twenty-five billion, two hundred twenty-four million, five hundred fifty-two thousand, five hundred twelve".

Divisors: 1 2 4 8 16 32 41 64 82 164 193 328 386 656 772 1312 1544 2624 3088 6176 7913 12352 15826 31652 63304 126608 253216 506432 43688441 87376882 174753764 349507528 699015056 1398030112 1791226081 2796060224 3582452162 7164904324 8431869113 14329808648 16863738226 28659617296 33727476452 57319234592 67454952904 114638469184 134909905808 269819811616 345706633633 539639623232 691413267266 1382826534532 2765653069064 5531306138128 11062612276256 22125224552512