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225310332 = 223136123677
BaseRepresentation
bin11010110110111…
…11011001111100
3120200221221200010
431123133121330
5430134412312
634205103220
75404051302
oct1533373174
9520857603
10225310332
111061aaa95
1263557b10
13378a9830
1421cd0272
1514ba893c
hexd6df67c

225310332 has 48 divisors (see below), whose sum is σ = 575470112. Its totient is φ = 68186880.

The previous prime is 225310219. The next prime is 225310357. The reversal of 225310332 is 233013522.

It is a junction number, because it is equal to n+sod(n) for n = 225310299 and 225310308.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2323 + ... + 21354.

Almost surely, 2225310332 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 225310332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287735056).

225310332 is an abundant number, since it is smaller than the sum of its proper divisors (350159780).

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

225310332 is a wasteful number, since it uses less digits than its factorization.

225310332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23758 (or 23756 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 225310332 is about 15010.3408355707. The cubic root of 225310332 is about 608.4997010081.

Adding to 225310332 its reverse (233013522), we get a palindrome (458323854).

The spelling of 225310332 in words is "two hundred twenty-five million, three hundred ten thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 61 78 122 156 183 244 366 732 793 1586 2379 3172 4758 9516 23677 47354 71031 94708 142062 284124 307801 615602 923403 1231204 1444297 1846806 2888594 3693612 4332891 5777188 8665782 17331564 18775861 37551722 56327583 75103444 112655166 225310332