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226468530 = 232543139421
BaseRepresentation
bin11010111111110…
…10001010110010
3120210010210102100
431133322022302
5430433443110
634250001230
75416644051
oct1537721262
9523123370
10226468530
11106921182
1263a16216
1337bc3a62
1422112398
1514d36bc0
hexd7fa2b2

226468530 has 96 divisors (see below), whose sum is σ = 608287680. Its totient is φ = 58423680.

The previous prime is 226468493. The next prime is 226468531. The reversal of 226468530 is 35864622.

226468530 is a `hidden beast` number, since 2 + 2 + 64 + 68 + 530 = 666.

It is not an unprimeable number, because it can be changed into a prime (226468531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 537720 + ... + 538140.

It is an arithmetic number, because the mean of its divisors is an integer number (6336330).

Almost surely, 2226468530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226468530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304143840).

226468530 is an abundant number, since it is smaller than the sum of its proper divisors (381819150).

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

226468530 is a wasteful number, since it uses less digits than its factorization.

226468530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 226468530 is about 15048.8713862535. The cubic root of 226468530 is about 609.5405749676.

The spelling of 226468530 in words is "two hundred twenty-six million, four hundred sixty-eight thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 86 90 129 139 215 258 278 387 417 421 430 645 695 774 834 842 1251 1263 1290 1390 1935 2085 2105 2502 2526 3789 3870 4170 4210 5977 6255 6315 7578 11954 12510 12630 17931 18103 18945 29885 35862 36206 37890 53793 54309 58519 59770 89655 90515 107586 108618 117038 162927 175557 179310 181030 268965 271545 292595 325854 351114 526671 537930 543090 585190 814635 877785 1053342 1629270 1755570 2516317 2633355 5032634 5266710 7548951 12581585 15097902 22646853 25163170 37744755 45293706 75489510 113234265 226468530