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225163300 = 225217196971
BaseRepresentation
bin11010110101110…
…11100000100100
3120200200110222111
431122323200210
5430120211200
634202010404
75402566525
oct1532734044
9520613874
10225163300
1110610a57a
12634a6a04
133785792b
1421c9284c
1514b7a0ba
hexd6bb824

225163300 has 72 divisors (see below), whose sum is σ = 544652640. Its totient is φ = 80294400.

The previous prime is 225163273. The next prime is 225163321. The reversal of 225163300 is 3361522.

225163300 is digitally balanced in base 2, base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

225163300 is strictly pandigital in base 9.

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, 28815 + ... + 35785.

It is an arithmetic number, because the mean of its divisors is an integer number (7564620).

Almost surely, 2225163300 is an apocalyptic number.

225163300 is a gapful number since it is divisible by the number (20) 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 225163300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272326320).

225163300 is an abundant number, since it is smaller than the sum of its proper divisors (319489340).

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

225163300 is a wasteful number, since it uses less digits than its factorization.

225163300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7021 (or 7014 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 225163300 is about 15005.4423460290. The cubic root of 225163300 is about 608.3673082086.

The spelling of 225163300 in words is "two hundred twenty-five million, one hundred sixty-three thousand, three hundred".

Divisors: 1 2 4 5 10 17 19 20 25 34 38 50 68 76 85 95 100 170 190 323 340 380 425 475 646 850 950 1292 1615 1700 1900 3230 6460 6971 8075 13942 16150 27884 32300 34855 69710 118507 132449 139420 174275 237014 264898 348550 474028 529796 592535 662245 697100 1185070 1324490 2251633 2370140 2648980 2962675 3311225 4503266 5925350 6622450 9006532 11258165 11850700 13244900 22516330 45032660 56290825 112581650 225163300