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242200254443225 = 52131815039817087
BaseRepresentation
bin110111000100011110100100…
…001000010110111011011001
31011202120010012011110122211112
4313010132210020112323121
5223221202110114140400
62215041132202310105
7102005251042512401
oct6704364410267331
91152503164418745
10242200254443225
1170199607538361
12231b80471b8335
13a51b503046aa0
1443b47aa785801
151d002b771d835
hexdc47a4216ed9

242200254443225 has 48 divisors (see below), whose sum is σ = 325282340597760. Its totient is φ = 177831904377600.

The previous prime is 242200254443183. The next prime is 242200254443227. The reversal of 242200254443225 is 522344452002242.

242200254443225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 242200254443225 - 234 = 242183074574041 is a prime.

It is not an unprimeable number, because it can be changed into a prime (242200254443227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 296010632 + ... + 296827718.

It is an arithmetic number, because the mean of its divisors is an integer number (6776715429120).

Almost surely, 2242200254443225 is an apocalyptic number.

242200254443225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

242200254443225 is a deficient number, since it is larger than the sum of its proper divisors (83082086154535).

242200254443225 is a wasteful number, since it uses less digits than its factorization.

242200254443225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822330 (or 822325 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 41.

The spelling of 242200254443225 in words is "two hundred forty-two trillion, two hundred billion, two hundred fifty-four million, four hundred forty-three thousand, two hundred twenty-five".

Divisors: 1 5 13 25 65 181 325 905 2353 4525 5039 11765 25195 58825 65507 125975 327535 817087 912059 1637675 4085435 4560295 10622131 11856767 20427175 22801475 53110655 59283835 147892747 265553275 296419175 739463735 1922605711 3697318675 4117301393 9613028555 20586506965 48065142775 53524918109 102932534825 267624590545 745231552133 1338122952725 3726157760665 9688010177729 18630788803325 48440050888645 242200254443225