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225126057135 = 3576775142611
BaseRepresentation
bin1101000110101010001…
…1110000010010101111
3210112002102101122012010
43101222203300102233
512142024232312020
6251231012412303
722156555624620
oct3215243602257
9715072348163
10225126057135
1187525876881
123776a317093
13182c99c05c5
14ac790bda47
155cc9246de0
hex346a8f04af

225126057135 has 64 divisors (see below), whose sum is σ = 418369388544. Its totient is φ = 101241360000.

The previous prime is 225126057109. The next prime is 225126057157. The reversal of 225126057135 is 531750621522.

225126057135 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 225126057135 - 214 = 225126040751 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 225126057093 and 225126057102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5261980 + ... + 5304590.

It is an arithmetic number, because the mean of its divisors is an integer number (6537021696).

Almost surely, 2225126057135 is an apocalyptic number.

225126057135 is a deficient number, since it is larger than the sum of its proper divisors (193243331409).

225126057135 is a wasteful number, since it uses less digits than its factorization.

225126057135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43444.

The product of its (nonzero) digits is 126000, while the sum is 39.

Adding to 225126057135 its reverse (531750621522), we get a palindrome (756876678657).

The spelling of 225126057135 in words is "two hundred twenty-five billion, one hundred twenty-six million, fifty-seven thousand, one hundred thirty-five".

Divisors: 1 3 5 7 15 21 35 67 105 201 335 469 751 1005 1407 2253 2345 3755 5257 7035 11265 15771 26285 42611 50317 78855 127833 150951 213055 251585 298277 352219 639165 754755 894831 1056657 1491385 1761095 2854937 4474155 5283285 8564811 14274685 19984559 32000861 42824055 59953677 96002583 99922795 160004305 224006027 299768385 480012915 672018081 1120030135 2144057687 3360090405 6432173061 10720288435 15008403809 32160865305 45025211427 75042019045 225126057135