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227025864 = 233213594111
BaseRepresentation
bin11011000100000…
…10001111001000
3120211012002221100
431202002033020
5431104311424
634305541400
75424454662
oct1542021710
9524162840
10227025864
1110717198a
1264044860
133805a640
1422219532
1514de6dc9
hexd8823c8

227025864 has 96 divisors (see below), whose sum is σ = 673545600. Its totient is φ = 68653440.

The previous prime is 227025823. The next prime is 227025943. The reversal of 227025864 is 468520722.

227025864 is a `hidden beast` number, since 2 + 2 + 70 + 2 + 586 + 4 = 666.

227025864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53169 + ... + 57279.

It is an arithmetic number, because the mean of its divisors is an integer number (7016100).

Almost surely, 2227025864 is an apocalyptic number.

227025864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 227025864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336772800).

227025864 is an abundant number, since it is smaller than the sum of its proper divisors (446519736).

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

227025864 is a wasteful number, since it uses less digits than its factorization.

227025864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4195 (or 4188 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 227025864 is about 15067.3774758582. The cubic root of 227025864 is about 610.0401872655.

The spelling of 227025864 in words is "two hundred twenty-seven million, twenty-five thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 59 72 78 104 117 118 156 177 234 236 312 354 468 472 531 708 767 936 1062 1416 1534 2124 2301 3068 4111 4248 4602 6136 6903 8222 9204 12333 13806 16444 18408 24666 27612 32888 36999 49332 53443 55224 73998 98664 106886 147996 160329 213772 242549 295992 320658 427544 480987 485098 641316 727647 961974 970196 1282632 1455294 1923948 1940392 2182941 2910588 3153137 3847896 4365882 5821176 6306274 8731764 9459411 12612548 17463528 18918822 25225096 28378233 37837644 56756466 75675288 113512932 227025864