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221121225 = 335213113223
BaseRepresentation
bin11010010111000…
…00101011001001
3120102002010022000
431023200223021
5423101334400
633535221213
75323333203
oct1513405311
9512063260
10221121225
111038a9716
1262077809
1336a70b80
142151d773
151462c600
hexd2e0ac9

221121225 has 96 divisors (see below), whose sum is σ = 443304960. Its totient is φ = 107412480.

The previous prime is 221121223. The next prime is 221121253. The reversal of 221121225 is 522121122.

It is not a de Polignac number, because 221121225 - 21 = 221121223 is a prime.

It is a super-2 number, since 2×2211212252 = 97789192291001250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221121198 and 221121207.

It is not an unprimeable number, because it can be changed into a prime (221121223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 991464 + ... + 991686.

It is an arithmetic number, because the mean of its divisors is an integer number (4617760).

Almost surely, 2221121225 is an apocalyptic number.

221121225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

221121225 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

221121225 is a wasteful number, since it uses less digits than its factorization.

221121225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 357 counting only the distinct ones).

The product of its digits is 160, while the sum is 18.

The square root of 221121225 is about 14870.1454263232. The cubic root of 221121225 is about 604.7048853243.

Adding to 221121225 its reverse (522121122), we get a palindrome (743242347).

It can be divided in two parts, 2211 and 21225, that added together give a triangular number (23436 = T216).

The spelling of 221121225 in words is "two hundred twenty-one million, one hundred twenty-one thousand, two hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 27 39 45 65 75 113 117 135 195 223 225 325 339 351 565 585 669 675 975 1017 1115 1469 1695 1755 2007 2825 2899 2925 3051 3345 4407 5085 5575 6021 7345 8475 8697 8775 10035 13221 14495 15255 16725 22035 25199 25425 26091 30105 36725 39663 43485 50175 66105 72475 75597 76275 78273 110175 125995 130455 150525 198315 217425 226791 327587 330525 377985 391365 629975 652275 680373 982761 991575 1133955 1637935 1889925 1956825 2948283 3401865 4913805 5669775 8189675 8844849 14741415 17009325 24569025 44224245 73707075 221121225