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225538339257 = 327112130722637
BaseRepresentation
bin1101001000001100100…
…0011111000110111001
3210120011011011201221100
43102003020133012321
512143400303324012
6251335541202013
722203023152410
oct3220310370671
9716134151840
10225538339257
1187717570500
1237864400309
131836424241a
14acb7b60477
155d005348dc
hex348321f1b9

225538339257 has 72 divisors (see below), whose sum is σ = 409572491328. Its totient is φ = 117067959360.

The previous prime is 225538339249. The next prime is 225538339289. The reversal of 225538339257 is 752933835522.

225538339257 is a `hidden beast` number, since 2 + 2 + 5 + 5 + 383 + 3 + 9 + 257 = 666.

It is not a de Polignac number, because 225538339257 - 23 = 225538339249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (225538339237) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9951943 + ... + 9974579.

It is an arithmetic number, because the mean of its divisors is an integer number (5688506824).

Almost surely, 2225538339257 is an apocalyptic number.

It is an amenable number.

225538339257 is a deficient number, since it is larger than the sum of its proper divisors (184034152071).

225538339257 is a wasteful number, since it uses less digits than its factorization.

225538339257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23979 (or 23965 counting only the distinct ones).

The product of its digits is 13608000, while the sum is 54.

The spelling of 225538339257 in words is "two hundred twenty-five billion, five hundred thirty-eight million, three hundred thirty-nine thousand, two hundred fifty-seven".

Divisors: 1 3 7 9 11 21 33 63 77 99 121 231 363 693 847 1089 1307 2541 3921 7623 9149 11763 14377 22637 27447 43131 67911 82341 100639 129393 158147 158459 203733 249007 301917 474441 475377 747021 905751 1107029 1423323 1426131 1743049 2241063 2739077 3321087 5229147 8217231 9963261 15687441 19173539 24651693 29586559 57520617 88759677 172561851 207105913 266279031 325452149 621317739 976356447 1863953217 2278165043 2929069341 3579973639 6834495129 10739920917 20503485387 25059815473 32219762751 75179446419 225538339257