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225204336 = 24327317207
BaseRepresentation
bin11010110110001…
…01100001110000
3120200202120021100
431123011201300
5430123014321
634202524400
75403130260
oct1533054160
9520676240
10225204336
11106138395
1263506700
1337870506
1421ca37a0
1514b87326
hexd6c5870

225204336 has 120 divisors (see below), whose sum is σ = 743634944. Its totient is φ = 62259840.

The previous prime is 225204313. The next prime is 225204347. The reversal of 225204336 is 633402522.

225204336 is a `hidden beast` number, since 225 + 2 + 0 + 433 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27645 + ... + 34851.

Almost surely, 2225204336 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 225204336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371817472).

225204336 is an abundant number, since it is smaller than the sum of its proper divisors (518430608).

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

225204336 is a wasteful number, since it uses less digits than its factorization.

225204336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7259 (or 7250 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 225204336 is about 15006.8096542869. The cubic root of 225204336 is about 608.4042642673.

Adding to 225204336 its reverse (633402522), we get a palindrome (858606858).

The spelling of 225204336 in words is "two hundred twenty-five million, two hundred four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 36 42 48 56 62 63 72 84 93 112 124 126 144 168 186 217 248 252 279 336 372 434 496 504 558 651 744 868 1008 1116 1302 1488 1736 1953 2232 2604 3472 3906 4464 5208 7207 7812 10416 14414 15624 21621 28828 31248 43242 50449 57656 64863 86484 100898 115312 129726 151347 172968 201796 223417 259452 302694 345936 403592 446834 454041 518904 605388 670251 807184 893668 908082 1037808 1210776 1340502 1563919 1787336 1816164 2010753 2421552 2681004 3127838 3574672 3632328 4021506 4691757 5362008 6255676 7264656 8043012 9383514 10724016 12511352 14075271 16086024 18767028 25022704 28150542 32172048 37534056 56301084 75068112 112602168 225204336