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225397224 = 233213257937
BaseRepresentation
bin11010110111101…
…00100111101000
3120201010100212100
431123310213220
5430200202344
634211013400
75404562523
oct1533644750
9521110770
10225397224
1110625a2a8
126359a260
133790a250
1421d13bba
1514bc4569
hexd6f49e8

225397224 has 96 divisors (see below), whose sum is σ = 660670920. Its totient is φ = 69009408.

The previous prime is 225397219. The next prime is 225397241. The reversal of 225397224 is 422793522.

It can be written as a sum of positive squares in 4 ways, for example, as 166874724 + 58522500 = 12918^2 + 7650^2 .

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

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, 240084 + ... + 241020.

Almost surely, 2225397224 is an apocalyptic number.

225397224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225397224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330335460).

225397224 is an abundant number, since it is smaller than the sum of its proper divisors (435273696).

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

225397224 is a wasteful number, since it uses less digits than its factorization.

225397224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219 (or 1212 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 225397224 is about 15013.2349611934. The cubic root of 225397224 is about 608.5779145548.

The spelling of 225397224 in words is "two hundred twenty-five million, three hundred ninety-seven thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 257 312 468 514 771 936 937 1028 1542 1874 2056 2313 2811 3084 3341 3748 4626 5622 6168 6682 7496 8433 9252 10023 11244 12181 13364 16866 18504 20046 22488 24362 26728 30069 33732 36543 40092 48724 60138 67464 73086 80184 97448 109629 120276 146172 219258 240552 240809 292344 438516 481618 722427 877032 963236 1444854 1926472 2167281 2889708 3130517 4334562 5779416 6261034 8669124 9391551 12522068 17338248 18783102 25044136 28174653 37566204 56349306 75132408 112698612 225397224