Search a number
-
+
225599828643 = 3374492658463
BaseRepresentation
bin1101001000011011001…
…1000011001010100011
3210120022102212201112000
43102012303003022203
512144012024004033
6251350015135043
722204400621640
oct3220663031243
9716272781460
10225599828643
1187749249382
1237880b14483
1318373bc1287
14acc1da8dc7
155d05b2da13
hex3486cc32a3

225599828643 has 32 divisors (see below), whose sum is σ = 382818816000. Its totient is φ = 128627025408.

The previous prime is 225599828627. The next prime is 225599828659. The reversal of 225599828643 is 346828995522.

225599828643 is a `hidden beast` number, since 225 + 5 + 9 + 98 + 286 + 43 = 666.

It is an interprime number because it is at equal distance from previous prime (225599828627) and next prime (225599828659).

It is not a de Polignac number, because 225599828643 - 24 = 225599828627 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (225599028643) by changing a digit.

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, 1244371 + ... + 1414092.

It is an arithmetic number, because the mean of its divisors is an integer number (11963088000).

Almost surely, 2225599828643 is an apocalyptic number.

225599828643 is a deficient number, since it is larger than the sum of its proper divisors (157218987357).

225599828643 is a wasteful number, since it uses less digits than its factorization.

225599828643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2658928 (or 2658922 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 63.

The spelling of 225599828643 in words is "two hundred twenty-five billion, five hundred ninety-nine million, eight hundred twenty-eight thousand, six hundred forty-three".

Divisors: 1 3 7 9 21 27 63 189 449 1347 3143 4041 9429 12123 28287 84861 2658463 7975389 18609241 23926167 55827723 71778501 167483169 502449507 1193649887 3580949661 8355549209 10742848983 25066647627 32228546949 75199942881 225599828643