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225001116 = 2232192111559
BaseRepresentation
bin11010110100100…
…11111010011100
3120200101020111200
431122103322130
5430100013431
634154315500
75401322634
oct1532237234
9520336450
10225001116
1110600973a
1263428b90
13377cbb72
1421c4d6c4
1514b46ee6
hexd693e9c

225001116 has 72 divisors (see below), whose sum is σ = 601910400. Its totient is φ = 70670880.

The previous prime is 225001099. The next prime is 225001121. The reversal of 225001116 is 611100522.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143545 + ... + 145103.

Almost surely, 2225001116 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 225001116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300955200).

225001116 is an abundant number, since it is smaller than the sum of its proper divisors (376909284).

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

225001116 is a wasteful number, since it uses less digits than its factorization.

225001116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1799 (or 1794 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 225001116 is about 15000.0371999539. The cubic root of 225001116 is about 608.2212051464.

Adding to 225001116 its reverse (611100522), we get a palindrome (836101638).

The spelling of 225001116 in words is "two hundred twenty-five million, one thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 211 228 342 422 633 684 844 1266 1559 1899 2532 3118 3798 4009 4677 6236 7596 8018 9354 12027 14031 16036 18708 24054 28062 29621 36081 48108 56124 59242 72162 88863 118484 144324 177726 266589 328949 355452 533178 657898 986847 1066356 1315796 1973694 2960541 3947388 5921082 6250031 11842164 12500062 18750093 25000124 37500186 56250279 75000372 112500558 225001116