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8369505225 = 34521921072
BaseRepresentation
bin1111100101101110…
…01000001111001001
3210121021200220210000
413302313020033021
5114120043131400
63502255313213
7414255422604
oct76267101711
923537626700
108369505225
113605405174
121756b1b809
13a34c68473
145957b133b
1533eb88600
hex1f2dc83c9

8369505225 has 135 divisors (see below), whose sum is σ = 16516466967. Its totient is φ = 4189281120.

The previous prime is 8369505217. The next prime is 8369505253. The reversal of 8369505225 is 5225059638.

The square root of 8369505225 is 91485.

It is a perfect power (a square), and thus also a powerful number.

8369505225 is a `hidden beast` number, since 8 + 36 + 95 + 0 + 522 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3013021881 + 5356483344 = 54891^2 + 73188^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 8369505225 - 23 = 8369505217 is a prime.

It is a super-2 number, since 2×83695052252 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 78219622 + ... + 78219728.

Almost surely, 28369505225 is an apocalyptic number.

8369505225 is the 91485-th square number.

8369505225 is the 45743-rd centered octagonal number.

It is an amenable number.

8369505225 is a deficient number, since it is larger than the sum of its proper divisors (8146961742).

8369505225 is a wasteful number, since it uses less digits than its factorization.

8369505225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The cubic root of 8369505225 is about 2030.3298278252.

The spelling of 8369505225 in words is "eight billion, three hundred sixty-nine million, five hundred five thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 19 25 27 45 57 75 81 95 107 135 171 225 285 321 361 405 475 513 535 675 855 963 1083 1425 1539 1605 1805 2025 2033 2565 2675 2889 3249 4275 4815 5415 6099 7695 8025 8667 9025 9747 10165 11449 12825 14445 16245 18297 24075 27075 29241 30495 34347 38475 38627 43335 48735 50825 54891 57245 72225 81225 91485 103041 115881 146205 152475 164673 171735 193135 216675 217531 243675 274455 286225 309123 347643 457425 515205 579405 652593 731025 823365 858675 927369 965675 1042929 1087655 1372275 1545615 1738215 1957779 2576025 2897025 3128787 3262965 4116825 4133089 4636845 5214645 5438275 5873337 7728075 8691075 9788895 12399267 15643935 16314825 17620011 20665445 23184225 26073225 29366685 37197801 48944475 61996335 78219675 88100055 103327225 111593403 146833425 185989005 309981675 334780209 440500275 557967015 929945025 1673901045 2789835075 8369505225