Search a number
-
+
241222352231224 = 23721389531860971
BaseRepresentation
bin110110110110001111110100…
…100111011101101100111000
31011122002122001110221011202001
4312312033310213131230320
5223104141334132344344
62213012004020150344
7101544511522042300
oct6666176447355470
91148078043834661
10241222352231224
116a9519091a9681
122307a6118383b4
13a47a229c4ac60
14437d31d096600
151cd4b30e9eed4
hexdb63f49ddb38

241222352231224 has 96 divisors (see below), whose sum is σ = 572973825135600. Its totient is φ = 94356390965760.

The previous prime is 241222352231191. The next prime is 241222352231227. The reversal of 241222352231224 is 422132253222142.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241222352231227) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 265476942 + ... + 266384029.

Almost surely, 2241222352231224 is an apocalyptic number.

It is an amenable number.

241222352231224 is an abundant number, since it is smaller than the sum of its proper divisors (331751472904376).

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

241222352231224 is a wasteful number, since it uses less digits than its factorization.

241222352231224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531861093 (or 531861082 counting only the distinct ones).

The product of its digits is 184320, while the sum is 37.

The spelling of 241222352231224 in words is "two hundred forty-one trillion, two hundred twenty-two billion, three hundred fifty-two million, two hundred thirty-one thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 89 91 98 104 178 182 196 356 364 392 623 637 712 728 1157 1246 1274 2314 2492 2548 4361 4628 4984 5096 8099 8722 9256 16198 17444 32396 34888 56693 64792 113386 226772 453544 531860971 1063721942 2127443884 3723026797 4254887768 6914192623 7446053594 13828385246 14892107188 26061187579 27656770492 29784214376 47335626419 48399348361 52122375158 55313540984 94671252838 96798696722 104244750316 189342505676 193597393444 208489500632 331349384933 338795438527 378685011352 387194786888 615363143447 662698769866 677590877054 1230726286894 1325397539732 1355181754108 2319445694531 2461452573788 2650795079464 2710363508216 4307542004129 4638891389062 4922905147576 8615084008258 9277782778124 17230168016516 18555565556248 30152794028903 34460336033032 60305588057806 120611176115612 241222352231224