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225603630016 = 2619601308701
BaseRepresentation
bin1101001000011100000…
…1100011001111000000
3210120022201000212000121
43102013001203033000
512144014012130031
6251350232430024
722204445133442
oct3220701431700
9716281025017
10225603630016
1187750405406
1237882248314
13183749225cb
14acc26b8492
155d06130011
hex34870633c0

225603630016 has 56 divisors (see below), whose sum is σ = 472030054160. Its totient is φ = 106686720000.

The previous prime is 225603630011. The next prime is 225603630041. The reversal of 225603630016 is 610036306522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225603630011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 576466 + ... + 885166.

It is an arithmetic number, because the mean of its divisors is an integer number (8429108110).

Almost surely, 2225603630016 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 225603630016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236015027080).

225603630016 is an abundant number, since it is smaller than the sum of its proper divisors (246426424144).

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

225603630016 is a wasteful number, since it uses less digits than its factorization.

225603630016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309333 (or 309323 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 34.

Adding to 225603630016 its reverse (610036306522), we get a palindrome (835639936538).

The spelling of 225603630016 in words is "two hundred twenty-five billion, six hundred three million, six hundred thirty thousand, sixteen".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 601 608 1202 1216 2404 4808 9616 11419 19232 22838 38464 45676 91352 182704 308701 365408 617402 730816 1234804 2469608 4939216 5865319 9878432 11730638 19756864 23461276 46922552 93845104 185529301 187690208 371058602 375380416 742117204 1484234408 2968468816 3525056719 5936937632 7050113438 11873875264 14100226876 28200453752 56400907504 112801815008 225603630016