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226500435 = 33571723613
BaseRepresentation
bin11011000000000…
…01111101010011
3120210012102012000
431200001331103
5430441003220
634250405043
75420136060
oct1540017523
9523172160
10226500435
11106943147
1263a30783
1337c05435
142211dc67
1514d41390
hexd801f53

226500435 has 128 divisors (see below), whose sum is σ = 509276160. Its totient is φ = 93063168.

The previous prime is 226500409. The next prime is 226500457. The reversal of 226500435 is 534005622.

226500435 is a `hidden beast` number, since 2 + 2 + 650 + 0 + 4 + 3 + 5 = 666.

It is not a de Polignac number, because 226500435 - 25 = 226500403 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 226500399 and 226500408.

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 127 ways as a sum of consecutive naturals, for example, 369189 + ... + 369801.

It is an arithmetic number, because the mean of its divisors is an integer number (3978720).

Almost surely, 2226500435 is an apocalyptic number.

226500435 is an abundant number, since it is smaller than the sum of its proper divisors (282775725).

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

226500435 is a wasteful number, since it uses less digits than its factorization.

226500435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 226500435 is about 15049.9313951925. The cubic root of 226500435 is about 609.5691977508.

The spelling of 226500435 in words is "two hundred twenty-six million, five hundred thousand, four hundred thirty-five".

Divisors: 1 3 5 7 9 15 17 21 23 27 35 45 51 63 69 85 105 115 119 135 153 161 189 207 255 315 345 357 391 459 483 595 613 621 765 805 945 1035 1071 1173 1449 1785 1839 1955 2295 2415 2737 3065 3105 3213 3519 4291 4347 5355 5517 5865 7245 8211 9195 10421 10557 12873 13685 14099 16065 16551 17595 21455 21735 24633 27585 31263 38619 41055 42297 52105 52785 64365 70495 72947 73899 82755 93789 98693 115857 123165 126891 156315 193095 211485 218841 239683 281367 296079 364735 369495 380673 468945 493465 579285 634455 656523 719049 888237 1094205 1198415 1406835 1480395 1677781 1903365 1969569 2157147 2664711 3282615 3595245 4441185 5033343 6471441 8388905 9847845 10785735 13323555 15100029 25166715 32357205 45300087 75500145 226500435