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225792105 = 357111910289
BaseRepresentation
bin11010111010101…
…01000001101001
3120201212102112120
431131111001221
5430300321410
634223301453
75411126010
oct1535250151
9521772476
10225792105
111064a9a50
126374a889
1337a17bc6
1421db7a77
1514c51570
hexd755069

225792105 has 64 divisors (see below), whose sum is σ = 474163200. Its totient is φ = 88888320.

The previous prime is 225792071. The next prime is 225792169. The reversal of 225792105 is 501297522.

It is a happy number.

225792105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 225792105 - 218 = 225529961 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16801 + ... + 27089.

It is an arithmetic number, because the mean of its divisors is an integer number (7408800).

Almost surely, 2225792105 is an apocalyptic number.

It is an amenable number.

225792105 is an abundant number, since it is smaller than the sum of its proper divisors (248371095).

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

225792105 is a wasteful number, since it uses less digits than its factorization.

225792105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10334.

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 225792105 is about 15026.3803026544. The cubic root of 225792105 is about 608.9331032723.

The spelling of 225792105 in words is "two hundred twenty-five million, seven hundred ninety-two thousand, one hundred five".

Divisors: 1 3 5 7 11 15 19 21 33 35 55 57 77 95 105 133 165 209 231 285 385 399 627 665 1045 1155 1463 1995 3135 4389 7315 10289 21945 30867 51445 72023 113179 154335 195491 216069 339537 360115 565895 586473 792253 977455 1080345 1368437 1697685 2150401 2376759 2932365 3961265 4105311 6451203 6842185 10752005 11883795 15052807 20526555 32256015 45158421 75264035 225792105