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225775674 = 236179109
BaseRepresentation
bin11010111010100…
…01000000111010
3120201211121000000
431131101000322
5430244310144
634223053430
75411030055
oct1535210072
9521747000
10225775674
11106498673
1263741276
1337a10597
1421db1a9c
1514c4b769
hexd75103a

225775674 has 56 divisors (see below), whose sum is σ = 537690420. Its totient is φ = 70823808.

The previous prime is 225775673. The next prime is 225775699. The reversal of 225775674 is 476577522.

225775674 is a `hidden beast` number, since 2 + 2 + 577 + 5 + 6 + 74 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 224550225 + 1225449 = 14985^2 + 1107^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (225775673) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 20232 + ... + 29340.

Almost surely, 2225775674 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225775674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268845210).

225775674 is an abundant number, since it is smaller than the sum of its proper divisors (311914746).

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

225775674 is an equidigital number, since it uses as much as digits as its factorization.

225775674 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9146 (or 9131 counting only the distinct ones).

The product of its digits is 823200, while the sum is 45.

The square root of 225775674 is about 15025.8335542492. The cubic root of 225775674 is about 608.9183321291.

The spelling of 225775674 in words is "two hundred twenty-five million, seven hundred seventy-five thousand, six hundred seventy-four".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 243 306 459 486 729 918 1377 1458 2754 4131 8262 9109 12393 18218 24786 27327 54654 81981 154853 163962 245943 309706 464559 491886 737829 929118 1393677 1475658 2213487 2787354 4181031 4426974 6640461 8362062 12543093 13280922 25086186 37629279 75258558 112887837 225775674