Search a number
-
+
225149674329 = 343138880593
BaseRepresentation
bin1101000110101111110…
…1110110001101011001
3210112011001211111220000
43101223331312031121
512142101304034304
6251233214523213
722160263440456
oct3215375661531
9715131744800
10225149674329
1187538137818
1237776206509
131830186c288
14ac7c2aa82d
155ccb35e939
hex346bf76359

225149674329 has 20 divisors (see below), whose sum is σ = 337409288436. Its totient is φ = 149620214016.

The previous prime is 225149674319. The next prime is 225149674331. The reversal of 225149674329 is 923476941522.

It is a happy number.

225149674329 is a `hidden beast` number, since 2 + 2 + 5 + 149 + 67 + 432 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26302352400 + 198847321929 = 162180^2 + 445923^2 .

It is not a de Polignac number, because 225149674329 - 25 = 225149674297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (225149674319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4414944 + ... + 4465649.

Almost surely, 2225149674329 is an apocalyptic number.

It is an amenable number.

225149674329 is a deficient number, since it is larger than the sum of its proper divisors (112259614107).

225149674329 is an equidigital number, since it uses as much as digits as its factorization.

225149674329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8880918 (or 8880909 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 225149674329 in words is "two hundred twenty-five billion, one hundred forty-nine million, six hundred seventy-four thousand, three hundred twenty-nine".

Divisors: 1 3 9 27 81 313 939 2817 8451 25353 8880593 26641779 79925337 239776011 719328033 2779625609 8338876827 25016630481 75049891443 225149674329