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241224096 = 2535942589
BaseRepresentation
bin11100110000011…
…00100110100000
3121210220110020210
432120030212200
5443223132341
635534134120
75656241151
oct1630144640
9553813223
10241224096
1111418a263
1268951340
133ac8c069
1424073928
151629dc16
hexe60c9a0

241224096 has 48 divisors (see below), whose sum is σ = 643960800. Its totient is φ = 79043328.

The previous prime is 241224083. The next prime is 241224097. The reversal of 241224096 is 690422142.

241224096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (241224097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15631 + ... + 26958.

It is an arithmetic number, because the mean of its divisors is an integer number (13415850).

Almost surely, 2241224096 is an apocalyptic number.

It is an amenable number.

241224096 is an abundant number, since it is smaller than the sum of its proper divisors (402736704).

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

241224096 is a wasteful number, since it uses less digits than its factorization.

241224096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42661 (or 42653 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 241224096 is about 15531.3906653590. The cubic root of 241224096 is about 622.5012519128.

The spelling of 241224096 in words is "two hundred forty-one million, two hundred twenty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 236 354 472 708 944 1416 1888 2832 5664 42589 85178 127767 170356 255534 340712 511068 681424 1022136 1362848 2044272 2512751 4088544 5025502 7538253 10051004 15076506 20102008 30153012 40204016 60306024 80408032 120612048 241224096