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225101216 = 2517439623
BaseRepresentation
bin11010110101011…
…00010110100000
3120200120022211002
431122230112200
5430111214331
634200411132
75402220524
oct1532542640
9520508732
10225101216
1110607796a
1263476aa8
13378355b2
1421c77d84
1514b669cb
hexd6ac5a0

225101216 has 48 divisors (see below), whose sum is σ = 480199104. Its totient is φ = 103455744.

The previous prime is 225101213. The next prime is 225101231. The reversal of 225101216 is 612101522.

It is not an unprimeable number, because it can be changed into a prime (225101213) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 18581 + ... + 28203.

It is an arithmetic number, because the mean of its divisors is an integer number (10004148).

Almost surely, 2225101216 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 225101216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240099552).

225101216 is an abundant number, since it is smaller than the sum of its proper divisors (255097888).

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

225101216 is a wasteful number, since it uses less digits than its factorization.

225101216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9693 (or 9685 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 225101216 is about 15003.3734873194. The cubic root of 225101216 is about 608.3113882786.

Adding to 225101216 its reverse (612101522), we get a palindrome (837202738).

The spelling of 225101216 in words is "two hundred twenty-five million, one hundred one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 43 68 86 136 172 272 344 544 688 731 1376 1462 2924 5848 9623 11696 19246 23392 38492 76984 153968 163591 307936 327182 413789 654364 827578 1308728 1655156 2617456 3310312 5234912 6620624 7034413 13241248 14068826 28137652 56275304 112550608 225101216