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225741705 = 35747149307
BaseRepresentation
bin11010111010010…
…00101110001001
3120201202212101220
431131020232021
5430242213310
634222232253
75410526040
oct1535105611
9521685356
10225741705
111064750a2
1263725689
13379cac97
1421da3557
1514c41670
hexd748b89

225741705 has 64 divisors (see below), whose sum is σ = 425779200. Its totient is φ = 99995904.

The previous prime is 225741673. The next prime is 225741707. The reversal of 225741705 is 507147522.

225741705 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 225741705 - 25 = 225741673 is a prime.

It is not an unprimeable number, because it can be changed into a prime (225741707) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 735162 + ... + 735468.

It is an arithmetic number, because the mean of its divisors is an integer number (6652800).

Almost surely, 2225741705 is an apocalyptic number.

It is an amenable number.

225741705 is a deficient number, since it is larger than the sum of its proper divisors (200037495).

225741705 is a wasteful number, since it uses less digits than its factorization.

225741705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518.

The product of its (nonzero) digits is 19600, while the sum is 33.

The square root of 225741705 is about 15024.7031584654. The cubic root of 225741705 is about 608.8877923993.

The spelling of 225741705 in words is "two hundred twenty-five million, seven hundred forty-one thousand, seven hundred five".

Divisors: 1 3 5 7 15 21 35 47 105 141 149 235 307 329 447 705 745 921 987 1043 1535 1645 2149 2235 3129 4605 4935 5215 6447 7003 10745 14429 15645 21009 32235 35015 43287 45743 49021 72145 101003 105045 137229 147063 216435 228715 245105 303009 320201 505015 686145 735315 960603 1515045 1601005 2149921 4803015 6449763 10749605 15049447 32248815 45148341 75247235 225741705