Search a number
-
+
225986852 = 227133831621
BaseRepresentation
bin11010111100001…
…00100100100100
3120202020022200102
431132010210210
5430323034402
634231403232
75412566540
oct1536044444
9522208612
10225986852
111066222a3
1263823518
1337a85740
1422028a20
1514c8e102
hexd784924

225986852 has 48 divisors (see below), whose sum is σ = 488312832. Its totient is φ = 89112960.

The previous prime is 225986833. The next prime is 225986863. The reversal of 225986852 is 258689522.

It is a junction number, because it is equal to n+sod(n) for n = 225986797 and 225986806.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138602 + ... + 140222.

It is an arithmetic number, because the mean of its divisors is an integer number (10173184).

Almost surely, 2225986852 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 225986852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244156416).

225986852 is an abundant number, since it is smaller than the sum of its proper divisors (262325980).

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

225986852 is a wasteful number, since it uses less digits than its factorization.

225986852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2028 (or 2026 counting only the distinct ones).

The product of its digits is 691200, while the sum is 47.

The square root of 225986852 is about 15032.8590760374. The cubic root of 225986852 is about 609.1081224079.

The spelling of 225986852 in words is "two hundred twenty-five million, nine hundred eighty-six thousand, eight hundred fifty-two".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 364 383 766 1532 1621 2681 3242 4979 5362 6484 9958 10724 11347 19916 21073 22694 34853 42146 45388 69706 84292 139412 147511 295022 590044 620843 1241686 2483372 4345901 8070959 8691802 16141918 17383604 32283836 56496713 112993426 225986852