Search a number
-
+
225314237104 = 24111280194529
BaseRepresentation
bin1101000111010111000…
…1100110101010110000
3210112120112111011120121
43101311301212222300
512142420421041404
6251301414020024
722164332262355
oct3216561465260
9715515434517
10225314237104
1187612016210
1237801347614
13183299997b8
14ac960a662c
155cdaa18e54
hex3475c66ab0

225314237104 has 20 divisors (see below), whose sum is σ = 476232365160. Its totient is φ = 102415562240.

The previous prime is 225314237051. The next prime is 225314237111. The reversal of 225314237104 is 401732413522.

225314237104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 225314237104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 640097089 + ... + 640097440.

It is an arithmetic number, because the mean of its divisors is an integer number (23811618258).

Almost surely, 2225314237104 is an apocalyptic number.

It is an amenable number.

225314237104 is an abundant number, since it is smaller than the sum of its proper divisors (250918128056).

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

225314237104 is a wasteful number, since it uses less digits than its factorization.

225314237104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280194548 (or 1280194542 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The spelling of 225314237104 in words is "two hundred twenty-five billion, three hundred fourteen million, two hundred thirty-seven thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 44 88 176 1280194529 2560389058 5120778116 10241556232 14082139819 20483112464 28164279638 56328559276 112657118552 225314237104