Search a number
-
+
52214444441225 = 5211223898432327
BaseRepresentation
bin10111101111101000111110…
…11010011011111010001001
320211212122121102001102220222
423313310133122123322021
523320440140234104400
6303014552402555425
713666240415536553
oct1367643732337211
9224778542042828
1052214444441225
1115701026728600
125a33613968b75
132319a549b6b51
14cc729a6a44d3
1560833e236185
hex2f7d1f69be89

52214444441225 has 72 divisors (see below), whose sum is σ = 75095614823040. Its totient is φ = 35914962899200.

The previous prime is 52214444441213. The next prime is 52214444441227.

52214444441225 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 52214444441225 - 210 = 52214444440201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (52214444441227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1976012 + ... + 10408338.

It is an arithmetic number, because the mean of its divisors is an integer number (1042994650320).

Almost surely, 252214444441225 is an apocalyptic number.

52214444441225 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52214444441225 is a deficient number, since it is larger than the sum of its proper divisors (22881170381815).

52214444441225 is a wasteful number, since it uses less digits than its factorization.

52214444441225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8432471 (or 8432455 counting only the distinct ones).

The product of its digits is 1638400, while the sum is 44.

It can be divided in two parts, 5221444 and 4441225, that added together give a palindrome (9662669).

The spelling of 52214444441225 in words is "fifty-two trillion, two hundred fourteen billion, four hundred forty-four million, four hundred forty-one thousand, two hundred twenty-five".

Divisors: 1 5 11 23 25 55 89 115 121 253 275 445 575 605 979 1265 2047 2225 2783 3025 4895 6325 10235 10769 13915 22517 24475 51175 53845 69575 112585 247687 269225 562925 1238435 6192175 8432327 42161635 92755597 193943521 210808175 463777985 750477103 969717605 1020311567 2133378731 2318889925 3752385515 4848588025 5101557835 8255248133 10666893655 17260973369 18761927575 23467166041 25507789175 41276240665 53334468275 86304866845 90807729463 117335830205 189870707059 206381203325 431524334225 454038647315 586679151025 949353535295 2088577777649 2270193236575 4746767676475 10442888888245 52214444441225