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229057164 = 223272891459
BaseRepresentation
bin11011010011100…
…10001010001100
3120222000022100200
431221302022030
5432114312124
634421253500
75450645100
oct1551621214
9528008320
10229057164
1110832a046
1264864290
13385bc0ab
14225c7900
1515198bc9
hexda7228c

229057164 has 108 divisors (see below), whose sum is σ = 681571800. Its totient is φ = 64665216.

The previous prime is 229057139. The next prime is 229057177. The reversal of 229057164 is 461750922.

229057164 is a `hidden beast` number, since 2 + 29 + 0 + 571 + 64 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 156267 + ... + 157725.

It is an arithmetic number, because the mean of its divisors is an integer number (6310850).

Almost surely, 2229057164 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 229057164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340785900).

229057164 is an abundant number, since it is smaller than the sum of its proper divisors (452514636).

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

229057164 is a wasteful number, since it uses less digits than its factorization.

229057164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 229057164 is about 15134.6345842904. The cubic root of 229057164 is about 611.8542200514.

The spelling of 229057164 in words is "two hundred twenty-nine million, fifty-seven thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 89 98 126 147 178 196 252 267 294 356 441 534 588 623 801 882 1068 1246 1459 1602 1764 1869 2492 2918 3204 3738 4361 4377 5607 5836 7476 8722 8754 10213 11214 13083 13131 17444 17508 20426 22428 26166 26262 30639 39249 40852 52332 52524 61278 71491 78498 91917 122556 129851 142982 156996 183834 214473 259702 285964 367668 389553 428946 519404 643419 779106 857892 908957 1168659 1286838 1558212 1817914 2337318 2573676 2726871 3635828 4674636 5453742 6362699 8180613 10907484 12725398 16361226 19088097 25450796 32722452 38176194 57264291 76352388 114528582 229057164