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241222352232225 = 35271335343934393
BaseRepresentation
bin110110110110001111110100…
…100111011101111100100001
31011122002122001110221020010010
4312312033310213131330201
5223104141334132412400
62213012004020155133
7101544511522045230
oct6666176447357441
91148078043836103
10241222352232225
116a9519091aa401
122307a611838aa9
13a47a229c4b550
14437d31d096b17
151cd4b30ea0450
hexdb63f49ddf21

241222352232225 has 48 divisors (see below), whose sum is σ = 490856560863872. Its totient is φ = 101790531048960.

The previous prime is 241222352232187. The next prime is 241222352232241. The reversal of 241222352232225 is 522232253222142.

It is not a de Polignac number, because 241222352232225 - 26 = 241222352232161 is a prime.

It is a super-3 number, since 3×2412223522322253 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17671960372 + ... + 17671974021.

Almost surely, 2241222352232225 is an apocalyptic number.

241222352232225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

241222352232225 is an abundant number, since it is smaller than the sum of its proper divisors (249634208631647).

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

241222352232225 is a wasteful number, since it uses less digits than its factorization.

241222352232225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35343934426 (or 35343934421 counting only the distinct ones).

The product of its digits is 460800, while the sum is 39.

The spelling of 241222352232225 in words is "two hundred forty-one trillion, two hundred twenty-two billion, three hundred fifty-two million, two hundred thirty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 7 13 15 21 25 35 39 65 75 91 105 175 195 273 325 455 525 975 1365 2275 6825 35343934393 106031803179 176719671965 247407540751 459471147109 530159015895 742222622253 883598359825 1237037703755 1378413441327 2297355735545 2650795079475 3216298029763 3711113111265 6185188518775 6892067206635 9648894089289 11486778677725 16081490148815 18555565556325 34460336033175 48244470446445 80407450744075 241222352232225