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225801000216 = 233311234131917
BaseRepresentation
bin1101001001001011001…
…0011101010100011000
3210120211110102022001000
43102102302131110120
512144420024001331
6251422003025000
722212362555661
oct3222262352430
9716743368030
10225801000216
1187841861580
123791836b160
13183a67988cc
14ad009b4368
155d1861a0e6
hex3492c9d518

225801000216 has 128 divisors (see below), whose sum is σ = 713995430400. Its totient is φ = 65449549440.

The previous prime is 225801000199. The next prime is 225801000241. The reversal of 225801000216 is 612000108522.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 225801000216.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2011311 + ... + 2120606.

It is an arithmetic number, because the mean of its divisors is an integer number (5578089300).

Almost surely, 2225801000216 is an apocalyptic number.

It is an amenable number.

225801000216 is an abundant number, since it is smaller than the sum of its proper divisors (488194430184).

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

225801000216 is a wasteful number, since it uses less digits than its factorization.

225801000216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4131966 (or 4131956 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 225801000216 its reverse (612000108522), we get a palindrome (837801108738).

The spelling of 225801000216 in words is "two hundred twenty-five billion, eight hundred one million, two hundred sixteen", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 11 12 18 22 23 24 27 33 36 44 46 54 66 69 72 88 92 99 108 132 138 184 198 207 216 253 264 276 297 396 414 506 552 594 621 759 792 828 1012 1188 1242 1518 1656 2024 2277 2376 2484 3036 4554 4968 6072 6831 9108 13662 18216 27324 54648 4131917 8263834 12395751 16527668 24791502 33055336 37187253 45451087 49583004 74374506 90902174 95034091 99166008 111561759 136353261 148749012 181804348 190068182 223123518 272706522 285102273 297498024 363608696 380136364 409059783 446247036 545413044 570204546 760272728 818119566 855306819 892494072 1045375001 1090826088 1140409092 1227179349 1636239132 1710613638 2090750002 2280818184 2454358698 2565920457 3136125003 3272478264 3421227276 4181500004 4908717396 5131840914 6272250006 6842454552 8363000008 9408375009 9817434792 10263681828 12544500012 18816750018 20527363656 25089000024 28225125027 37633500036 56450250054 75267000072 112900500108 225801000216