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212922259225 = 521323122292
BaseRepresentation
bin1100011001001100100…
…1111101011100011001
3202100120220210110122221
43012103021331130121
511442031044243400
6241452022544041
721245261225104
oct3062311753431
9670526713587
10212922259225
1182333078885
1235323298021
1317103571c00
14a43c3b173b
155812b6bc1a
hex319327d719

212922259225 has 81 divisors (see below), whose sum is σ = 296710964919. Its totient is φ = 151498339200.

The previous prime is 212922259223. The next prime is 212922259261. The reversal of 212922259225 is 522952229212.

The square root of 212922259225 is 461435.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 109060439049 + 103861820176 = 330243^2 + 322276^2 .

It is not a de Polignac number, because 212922259225 - 21 = 212922259223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212922259223) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 929791411 + ... + 929791639.

Almost surely, 2212922259225 is an apocalyptic number.

212922259225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

212922259225 is the 461435-th square number.

212922259225 is the 230718-th centered octagonal number.

It is an amenable number.

212922259225 is a deficient number, since it is larger than the sum of its proper divisors (83788705694).

212922259225 is an equidigital number, since it uses as much as digits as its factorization.

212922259225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 278 counting only the distinct ones).

The product of its digits is 259200, while the sum is 43.

The spelling of 212922259225 in words is "two hundred twelve billion, nine hundred twenty-two million, two hundred fifty-nine thousand, two hundred twenty-five".

Divisors: 1 5 13 25 31 65 155 169 229 325 403 775 845 961 1145 2015 2977 4225 4805 5239 5725 7099 10075 12493 14885 24025 26195 35495 38701 52441 62465 74425 92287 130975 162409 177475 193505 220069 262205 312325 461435 681733 812045 967525 1100345 1199731 1311025 1625671 2307175 2860897 3408665 4060225 5501725 5998655 8128355 8862529 14304485 17043325 21133723 29993275 37191661 40641775 44312645 50395801 71522425 105668615 185958305 221563225 251979005 274738399 528343075 655145413 929791525 1259895025 1373691995 3275727065 6868459975 8516890369 16378635325 42584451845 212922259225