Search a number
-
+
225458811009 = 32194330662153
BaseRepresentation
bin1101000111111001100…
…1000111000010000001
3210112221121112021200200
43101332121013002001
512143214423423014
6251324020435413
722201036162545
oct3217631070201
9715847467620
10225458811009
1187686691783
1237841848b69
13183509189a3
14acab37ba25
155ce8575a09
hex347e647081

225458811009 has 24 divisors (see below), whose sum is σ = 350775041760. Its totient is φ = 139083521472.

The previous prime is 225458811007. The next prime is 225458811077. The reversal of 225458811009 is 900118854522.

225458811009 is a `hidden beast` number, since 2 + 2 + 54 + 588 + 1 + 10 + 0 + 9 = 666.

It is not a de Polignac number, because 225458811009 - 21 = 225458811007 is a prime.

It is a super-3 number, since 3×2254588110093 (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (225458811007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15323724 + ... + 15338429.

It is an arithmetic number, because the mean of its divisors is an integer number (14615626740).

Almost surely, 2225458811009 is an apocalyptic number.

It is an amenable number.

225458811009 is a deficient number, since it is larger than the sum of its proper divisors (125316230751).

225458811009 is a wasteful number, since it uses less digits than its factorization.

225458811009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30662221 (or 30662218 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 225458811009 in words is "two hundred twenty-five billion, four hundred fifty-eight million, eight hundred eleven thousand, nine".

Divisors: 1 3 9 19 43 57 129 171 387 817 2451 7353 30662153 91986459 275959377 582580907 1318472579 1747742721 3955417737 5243228163 11866253211 25050979001 75152937003 225458811009