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227113965 = 325131741557
BaseRepresentation
bin11011000100101…
…11101111101101
3120211100120210100
431202113233231
5431120121330
634311501313
75425302561
oct1542275755
9524316710
10227113965
111072220a1
1264087839
133808b780
142223d6a1
1514e13060
hexd897bed

227113965 has 96 divisors (see below), whose sum is σ = 460658016. Its totient is φ = 102481920.

The previous prime is 227113963. The next prime is 227114039. The reversal of 227113965 is 569311722.

It can be written as a sum of positive squares in 16 ways, for example, as 168039369 + 59074596 = 12963^2 + 7686^2 .

It is not a de Polignac number, because 227113965 - 21 = 227113963 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (227113961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 407467 + ... + 408023.

It is an arithmetic number, because the mean of its divisors is an integer number (4798521).

Almost surely, 2227113965 is an apocalyptic number.

It is an amenable number.

227113965 is an abundant number, since it is smaller than the sum of its proper divisors (233544051).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

227113965 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (227113964) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (639).

227113965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 636 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 227113965 is about 15070.3007601043. The cubic root of 227113965 is about 610.1190889948.

The spelling of 227113965 in words is "two hundred twenty-seven million, one hundred thirteen thousand, nine hundred sixty-five".

Divisors: 1 3 5 9 13 15 17 39 41 45 51 65 85 117 123 153 195 205 221 255 369 533 557 585 615 663 697 765 1105 1599 1671 1845 1989 2091 2665 2785 3315 3485 4797 5013 6273 7241 7995 8355 9061 9469 9945 10455 21723 22837 23985 25065 27183 28407 31365 36205 45305 47345 65169 68511 81549 85221 108615 114185 123097 135915 142035 205533 296881 325845 342555 369291 388229 407745 426105 615485 890643 1027665 1107873 1164687 1484405 1846455 1941145 2671929 3494061 4453215 5046977 5539365 5823435 13359645 15140931 17470305 25234885 45422793 75704655 227113965