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225005744145 = 3571310110311583
BaseRepresentation
bin1101000110001101100…
…0110011000000010001
3210111210001000002210110
43101203120303000101
512141302432303040
6251211033551533
722153565161110
oct3214330630021
9714701002713
10225005744145
1187473970956
1237735b755a9
13182aaab70a0
14ac67121c77
155cbd8cd980
hex3463633011

225005744145 has 128 divisors (see below), whose sum is σ = 448192217088. Its totient is φ = 93856896000.

The previous prime is 225005744111. The next prime is 225005744213. The reversal of 225005744145 is 541447500522.

It is not a de Polignac number, because 225005744145 - 26 = 225005744081 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 142138024 + ... + 142139606.

It is an arithmetic number, because the mean of its divisors is an integer number (3501501696).

Almost surely, 2225005744145 is an apocalyptic number.

It is an amenable number.

225005744145 is a deficient number, since it is larger than the sum of its proper divisors (223186472943).

225005744145 is a wasteful number, since it uses less digits than its factorization.

225005744145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2743.

The product of its (nonzero) digits is 224000, while the sum is 39.

The spelling of 225005744145 in words is "two hundred twenty-five billion, five million, seven hundred forty-four thousand, one hundred forty-five".

Divisors: 1 3 5 7 13 15 21 35 39 65 91 101 105 195 273 303 455 505 707 1031 1313 1365 1515 1583 2121 3093 3535 3939 4749 5155 6565 7217 7915 9191 10605 11081 13403 15465 19695 20579 21651 23745 27573 33243 36085 40209 45955 55405 61737 67015 93821 102895 104131 108255 137865 144053 159883 166215 201045 281463 308685 312393 432159 469105 479649 520655 720265 728917 799415 1119181 1353703 1407315 1561965 1632073 2078479 2160795 2186751 2398245 3357543 3644585 4061109 4896219 5595905 6235437 6768515 8160365 9475921 10392395 10933755 11424511 14549353 16787715 20305545 21216949 24481095 28427763 31177185 34273533 43648059 47379605 57122555 63650847 72746765 106084745 142138815 148518643 164839373 171367665 218240295 318254235 445555929 494518119 742593215 824196865 1153875611 2142911849 2227779645 2472590595 3461626833 5769378055 6428735547 10714559245 15000382943 17308134165 32143677735 45001148829 75001914715 225005744145