Search a number
-
+
70218225 = 33527211193
BaseRepresentation
bin1000010111101…
…11000111110001
311220010110022000
410023313013301
5120433440400
610545004213
71511562600
oct413670761
9156113260
1070218225
11366aaaa0
121b623669
1311716c5c
14947ba37
156270600
hex42f71f1

70218225 has 144 divisors (see below), whose sum is σ = 164543040. Its totient is φ = 29030400.

The previous prime is 70218223. The next prime is 70218229. The reversal of 70218225 is 52281207.

70218225 = 253 + 263 + ... + 1293.

It is not a de Polignac number, because 70218225 - 21 = 70218223 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (70218223) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 363729 + ... + 363921.

It is an arithmetic number, because the mean of its divisors is an integer number (1142660).

Almost surely, 270218225 is an apocalyptic number.

70218225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

70218225 is an abundant number, since it is smaller than the sum of its proper divisors (94324815).

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

70218225 is a wasteful number, since it uses less digits than its factorization.

70218225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 70218225 is about 8379.6315551461. The cubic root of 70218225 is about 412.5563559366.

It can be divided in two parts, 702182 and 25, that added together give a palindrome (702207).

The spelling of 70218225 in words is "seventy million, two hundred eighteen thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 11 15 21 25 27 33 35 45 49 55 63 75 77 99 105 135 147 165 175 189 193 225 231 245 275 297 315 385 441 495 525 539 579 675 693 735 825 945 965 1155 1225 1323 1351 1485 1575 1617 1737 1925 2079 2123 2205 2475 2695 2895 3465 3675 4053 4725 4825 4851 5211 5775 6369 6615 6755 7425 8085 8685 9457 10395 10615 11025 12159 13475 14475 14553 14861 17325 19107 20265 24255 26055 28371 31845 33075 33775 36477 40425 43425 44583 47285 51975 53075 57321 60795 72765 74305 85113 95535 101325 104027 121275 130275 133749 141855 159225 182385 222915 236425 255339 286605 303975 312081 363825 371525 401247 425565 477675 520135 668745 709275 911925 936243 1114575 1276695 1433025 1560405 2006235 2127825 2600675 2808729 3343725 4681215 6383475 7802025 10031175 14043645 23406075 70218225