Search a number
-
+
225394924671 = 3473889102217
BaseRepresentation
bin1101000111101010010…
…1011001110001111111
3210112210011022112010000
43101322211121301333
512143102100042141
6251313415245343
722166332151160
oct3217245316177
9715704275100
10225394924671
1187653616a54
1237824379853
131834060ab17
14aca2aab767
155ce2b565b6
hex347a959c7f

225394924671 has 40 divisors (see below), whose sum is σ = 384903923360. Its totient is φ = 128762721792.

The previous prime is 225394924669. The next prime is 225394924673. The reversal of 225394924671 is 176429493522.

It is a happy number.

225394924671 is a `hidden beast` number, since 2 + 2 + 5 + 3 + 94 + 92 + 467 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (225394924669) and next prime (225394924673).

It is not a de Polignac number, because 225394924671 - 21 = 225394924669 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225394924673) 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 39 ways as a sum of consecutive naturals, for example, 2153955 + ... + 2256171.

It is an arithmetic number, because the mean of its divisors is an integer number (9622598084).

Almost surely, 2225394924671 is an apocalyptic number.

225394924671 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

225394924671 is a deficient number, since it is larger than the sum of its proper divisors (159508998689).

225394924671 is a wasteful number, since it uses less digits than its factorization.

225394924671 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106125 (or 106116 counting only the distinct ones).

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

The spelling of 225394924671 in words is "two hundred twenty-five billion, three hundred ninety-four million, nine hundred twenty-four thousand, six hundred seventy-one".

Divisors: 1 3 7 9 21 27 63 81 189 567 3889 11667 27223 35001 81669 102217 105003 245007 306651 315009 715519 735021 919953 2146557 2205063 2759859 6439671 8279577 19319013 57957039 397521913 1192565739 2782653391 3577697217 8347960173 10733091651 25043880519 32199274953 75131641557 225394924671