Search a number
-
+
225525113244 = 223317619532113
BaseRepresentation
bin1101001000001001011…
…0000010000110011100
3210120010020021210021000
43102002112002012130
512143333412110434
6251334345510300
722202502555534
oct3220226020634
9716106253230
10225525113244
1187710057612
123785baa2390
1318361591392
14acb60ba4c4
155cee2c0b99
hex348258219c

225525113244 has 192 divisors, whose sum is σ = 630195914880. Its totient is φ = 69487165440.

The previous prime is 225525113221. The next prime is 225525113299. The reversal of 225525113244 is 442311525522.

225525113244 is a `hidden beast` number, since 2 + 2 + 552 + 51 + 13 + 2 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 225525113199 and 225525113208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 106731132 + ... + 106733244.

It is an arithmetic number, because the mean of its divisors is an integer number (3282270390).

Almost surely, 2225525113244 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 225525113244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315097957440).

225525113244 is an abundant number, since it is smaller than the sum of its proper divisors (404670801636).

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

225525113244 is a wasteful number, since it uses less digits than its factorization.

225525113244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3157 (or 3149 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

Adding to 225525113244 its reverse (442311525522), we get a palindrome (667836638766).

The spelling of 225525113244 in words is "two hundred twenty-five billion, five hundred twenty-five million, one hundred thirteen thousand, two hundred forty-four".