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229086564 = 22372537351
BaseRepresentation
bin11011010011110…
…01010101100100
3120222001210200120
431221321111210
5432121232224
634422041540
75451126600
oct1551712544
9528053616
10229086564
1110834a143
12648792b0
13385cc5a5
14225d4500
15151a2779
hexda79564

229086564 has 72 divisors (see below), whose sum is σ = 633624768. Its totient is φ = 64209600.

The previous prime is 229086563. The next prime is 229086569. The reversal of 229086564 is 465680922.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (229086563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27489 + ... + 34839.

It is an arithmetic number, because the mean of its divisors is an integer number (8800344).

Almost surely, 2229086564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229086564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316812384).

229086564 is an abundant number, since it is smaller than the sum of its proper divisors (404538204).

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

229086564 is a wasteful number, since it uses less digits than its factorization.

229086564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7425 (or 7416 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 229086564 is about 15135.6058352482. The cubic root of 229086564 is about 611.8803965513.

The spelling of 229086564 in words is "two hundred twenty-nine million, eighty-six thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 53 84 98 106 147 159 196 212 294 318 371 588 636 742 1113 1484 2226 2597 4452 5194 7351 7791 10388 14702 15582 22053 29404 31164 44106 51457 88212 102914 154371 205828 308742 360199 389603 617484 720398 779206 1080597 1168809 1440796 1558412 2161194 2337618 2727221 4322388 4675236 5454442 8181663 10908884 16363326 19090547 32726652 38181094 57271641 76362188 114543282 229086564