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226016505 = 3251121331103
BaseRepresentation
bin11010111100010…
…11110011111001
3120202021211100200
431132023303321
5430330012010
634232152413
75413052151
oct1536136371
9522254320
10226016505
11106642600
1263838709
1337a960a0
1422035761
1514c97cc0
hexd78bcf9

226016505 has 144 divisors (see below), whose sum is σ = 483345408. Its totient is φ = 96940800.

The previous prime is 226016383. The next prime is 226016507. The reversal of 226016505 is 505610622.

226016505 is a `hidden beast` number, since 2 + 2 + 6 + 0 + 1 + 650 + 5 = 666.

It is not a de Polignac number, because 226016505 - 213 = 226008313 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (226016507) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2194284 + ... + 2194386.

Almost surely, 2226016505 is an apocalyptic number.

It is an amenable number.

226016505 is an abundant number, since it is smaller than the sum of its proper divisors (257328903).

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

226016505 is a wasteful number, since it uses less digits than its factorization.

226016505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 226016505 is about 15033.8453164851. The cubic root of 226016505 is about 609.1347627383.

The spelling of 226016505 in words is "two hundred twenty-six million, sixteen thousand, five hundred five".

Divisors: 1 3 5 9 11 13 15 31 33 39 45 55 65 93 99 103 117 121 143 155 165 195 279 309 341 363 403 429 465 495 515 585 605 715 927 1023 1089 1133 1209 1287 1339 1395 1545 1573 1705 1815 2015 2145 3069 3193 3399 3627 3751 4017 4433 4635 4719 5115 5445 5665 6045 6435 6695 7865 9579 10197 11253 12051 12463 13299 14157 14729 15345 15965 16995 18135 18755 20085 22165 23595 28737 33759 35123 37389 39897 41509 44187 47895 48763 50985 56265 60255 62315 66495 70785 73645 105369 112167 124527 132561 143685 146289 162019 168795 175615 186945 199485 207545 220935 243815 316107 373581 386353 438867 456599 486057 526845 560835 622635 662805 731445 810095 1159059 1369797 1458171 1580535 1867905 1931765 2194335 2282995 2430285 3477177 4109391 5022589 5795295 6848985 7290855 15067767 17385885 20546955 25112945 45203301 75338835 226016505