Search a number
-
+
225059605472 = 25136137011259
BaseRepresentation
bin1101000110011010011…
…0010000101111100000
3210111220210100112122102
43101212212100233200
512141410224333342
6251220240225532
722155121040162
oct3214646205740
9714823315572
10225059605472
11874a1309749
123775000b2a8
13182b8cc4bb0
14ac70342932
155cc34bc832
hex3466990be0

225059605472 has 96 divisors (see below), whose sum is σ = 479010036960. Its totient is φ = 103474022400.

The previous prime is 225059605427. The next prime is 225059605481. The reversal of 225059605472 is 274506950522.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 178759979 + ... + 178761237.

It is an arithmetic number, because the mean of its divisors is an integer number (4989687885).

Almost surely, 2225059605472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225059605472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239505018480).

225059605472 is an abundant number, since it is smaller than the sum of its proper divisors (253950431488).

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

225059605472 is a wasteful number, since it uses less digits than its factorization.

225059605472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2596 (or 2588 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 47.

The spelling of 225059605472 in words is "two hundred twenty-five billion, fifty-nine million, six hundred five thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 613 701 1226 1259 1402 2452 2518 2804 4904 5036 5608 7969 9113 9808 10072 11216 15938 16367 18226 19616 20144 22432 31876 32734 36452 40288 63752 65468 72904 127504 130936 145808 255008 261872 291616 429713 523744 771767 859426 882559 1543534 1718852 1765118 3087068 3437704 3530236 5586269 6174136 6875408 7060472 10032971 11172538 11473267 12348272 13750816 14120944 20065942 22345076 22946534 24696544 28241888 40131884 44690152 45893068 80263768 89380304 91786136 160527536 178760608 183572272 321055072 367144544 541008667 1082017334 2164034668 4328069336 7033112671 8656138672 14066225342 17312277344 28132450684 56264901368 112529802736 225059605472