Search a number
-
+
225412418216 = 23229433284161
BaseRepresentation
bin1101000111101110100…
…0001000101010101000
3210112211101020021202002
43101323220020222220
512143121034340331
6251315242230132
722166633640566
oct3217350105250
9715741207662
10225412418216
1187662485127
123782a1b5348
131834412442b
14aca5142a36
155ce445e9cb
hex347ba08aa8

225412418216 has 32 divisors (see below), whose sum is σ = 425475762600. Its totient is φ = 111954493440.

The previous prime is 225412418213. The next prime is 225412418243. The reversal of 225412418216 is 612814214522.

It is a happy number.

225412418216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 164178936100 + 61233482116 = 405190^2 + 247454^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 225412418216.

It is not an unprimeable number, because it can be changed into a prime (225412418213) 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 7 ways as a sum of consecutive naturals, for example, 651176 + ... + 935336.

Almost surely, 2225412418216 is an apocalyptic number.

It is an amenable number.

225412418216 is a deficient number, since it is larger than the sum of its proper divisors (200063344384).

225412418216 is a wasteful number, since it uses less digits than its factorization.

225412418216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284829 (or 284825 counting only the distinct ones).

The product of its digits is 61440, while the sum is 38.

The spelling of 225412418216 in words is "two hundred twenty-five billion, four hundred twelve million, four hundred eighteen thousand, two hundred sixteen".

Divisors: 1 2 4 8 229 433 458 866 916 1732 1832 3464 99157 198314 284161 396628 568322 793256 1136644 2273288 65072869 123041713 130145738 246083426 260291476 492166852 520582952 984333704 28176552277 56353104554 112706209108 225412418216