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222430140625 = 5676112
BaseRepresentation
bin1100111100100111011…
…1101001100011010001
3210021010112112212222111
43033021313221203101
512121014104000000
6250103305505321
722033012000000
oct3171167514321
9707115485874
10222430140625
1186372019900
12371374a2241
1317c8a306734
14aaa1030c37
155bbc71bcba
hex33c9de98d1

222430140625 has 147 divisors (see below), whose sum is σ = 356541940111. Its totient is φ = 138657750000.

The previous prime is 222430140587. The next prime is 222430140643. The reversal of 222430140625 is 526041034222.

The square root of 222430140625 is 471625.

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

It can be written as a sum of positive squares in 3 ways, for example, as 194870156481 + 27559984144 = 441441^2 + 166012^2 .

It is not a de Polignac number, because 222430140625 - 211 = 222430138577 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 146 ways as a sum of consecutive naturals, for example, 20220921870 + ... + 20220921880.

Almost surely, 2222430140625 is an apocalyptic number.

222430140625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

222430140625 is the 471625-th square number.

222430140625 is the 235813-rd centered octagonal number.

It is an amenable number.

222430140625 is a deficient number, since it is larger than the sum of its proper divisors (134111799486).

222430140625 is an frugal number, since it uses more digits than its factorization.

222430140625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 222430140625 its reverse (526041034222), we get a palindrome (748471174847).

The spelling of 222430140625 in words is "two hundred twenty-two billion, four hundred thirty million, one hundred forty thousand, six hundred twenty-five".

Divisors: 1 5 7 11 25 35 49 55 77 121 125 175 245 275 343 385 539 605 625 847 875 1225 1375 1715 1925 2401 2695 3025 3125 3773 4235 4375 5929 6125 6875 8575 9625 12005 13475 15125 15625 16807 18865 21175 21875 26411 29645 30625 34375 41503 42875 48125 60025 67375 75625 84035 94325 105875 109375 117649 132055 148225 153125 171875 184877 207515 214375 240625 290521 300125 336875 378125 420175 471625 529375 588245 660275 741125 765625 924385 1037575 1071875 1203125 1294139 1452605 1500625 1684375 1890625 2033647 2100875 2358125 2646875 2941225 3301375 3705625 4621925 5187875 5359375 6470695 7263025 7503125 8421875 10168235 10504375 11790625 13234375 14235529 14706125 16506875 18528125 23109625 25939375 32353475 36315125 37515625 50841175 52521875 58953125 71177645 73530625 82534375 92640625 115548125 129696875 161767375 181575625 254205875 262609375 355888225 367653125 412671875 577740625 648484375 808836875 907878125 1271029375 1779441125 1838265625 2888703125 4044184375 4539390625 6355146875 8897205625 20220921875 31775734375 44486028125 222430140625