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225298368 = 2633241541
BaseRepresentation
bin11010110110111…
…00011111000000
3120200221100021000
431123130133000
5430134021433
634204532000
75404001361
oct1533343700
9520840230
10225298368
111061a1aa9
1263551000
13378a4259
1421cc9b68
1514ba5113
hexd6dc7c0

225298368 has 112 divisors (see below), whose sum is σ = 666313120. Its totient is φ = 74649600.

The previous prime is 225298349. The next prime is 225298373. The reversal of 225298368 is 863892522.

It is a happy number.

It is a congruent number.

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, 416178 + ... + 416718.

Almost surely, 2225298368 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 225298368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333156560).

225298368 is an abundant number, since it is smaller than the sum of its proper divisors (441014752).

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

225298368 is a wasteful number, since it uses less digits than its factorization.

225298368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 787 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 225298368 is about 15009.9423050190. The cubic root of 225298368 is about 608.4889303536.

The spelling of 225298368 in words is "two hundred twenty-five million, two hundred ninety-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 241 288 432 482 541 576 723 864 964 1082 1446 1623 1728 1928 2164 2169 2892 3246 3856 4328 4338 4869 5784 6492 6507 7712 8656 8676 9738 11568 12984 13014 14607 15424 17312 17352 19476 23136 25968 26028 29214 34624 34704 38952 46272 51936 52056 58428 69408 77904 103872 104112 116856 130381 138816 155808 208224 233712 260762 311616 391143 416448 467424 521524 782286 934848 1043048 1173429 1564572 2086096 2346858 3129144 3520287 4172192 4693716 6258288 7040574 8344384 9387432 12516576 14081148 18774864 25033152 28162296 37549728 56324592 75099456 112649184 225298368