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212440412025 = 325217233238369
BaseRepresentation
bin1100010111011001101…
…1110110111101111001
3202022100100010002120100
43011312123312331321
511440034221141100
6241332131150013
721230320464552
oct3056633667571
9668310102510
10212440412025
118210608a956
1235209a45309
13170577a451a
14a3d43c3329
1557d56dc400
hex31766f6f79

212440412025 has 72 divisors (see below), whose sum is σ = 404617819320. Its totient is φ = 106178641920.

The previous prime is 212440412017. The next prime is 212440412069. The reversal of 212440412025 is 520214044212.

It is a happy number.

212440412025 is a `hidden beast` number, since 2 + 1 + 244 + 0 + 412 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 7100927289 + 205339484736 = 84267^2 + 453144^2 .

It is not a de Polignac number, because 212440412025 - 23 = 212440412017 is a prime.

It is a super-2 number, since 2×2124404120252 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212440412025.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 772041 + ... + 1010409.

It is an arithmetic number, because the mean of its divisors is an integer number (5619691935).

Almost surely, 2212440412025 is an apocalyptic number.

212440412025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

212440412025 is a deficient number, since it is larger than the sum of its proper divisors (192177407295).

212440412025 is a wasteful number, since it uses less digits than its factorization.

212440412025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238635 (or 238627 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 212440412025 its reverse (520214044212), we get a palindrome (732654456237).

The spelling of 212440412025 in words is "two hundred twelve billion, four hundred forty million, four hundred twelve thousand, twenty-five".

Divisors: 1 3 5 9 15 17 25 45 51 75 85 153 225 233 255 425 699 765 1165 1275 2097 3495 3825 3961 5825 10485 11883 17475 19805 35649 52425 59415 99025 178245 238369 297075 715107 891225 1191845 2145321 3575535 4052273 5959225 10726605 12156819 17877675 20261365 36470457 53633025 55539977 60784095 101306825 166619931 182352285 277699885 303920475 499859793 833099655 911761425 944179609 1388499425 2499298965 2832538827 4165498275 4720898045 8497616481 12496494825 14162694135 23604490225 42488082405 70813470675 212440412025