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225531868572 = 2232113498711117
BaseRepresentation
bin1101001000001010111…
…1110011010110011100
3210120010200222222211100
43102002233303112130
512143342124243242
6251335150353100
722202614152423
oct3220257632634
9716120888740
10225531868572
1187713950a2a
12378621bb790
1318362ab810a
14acb6d582ba
155ceeba754c
hex3482bf359c

225531868572 has 72 divisors (see below), whose sum is σ = 575306602416. Its totient is φ = 74490361344.

The previous prime is 225531868543. The next prime is 225531868579. The reversal of 225531868572 is 275868135522.

It is a happy number.

225531868572 is a `hidden beast` number, since 2 + 2 + 5 + 5 + 3 + 1 + 8 + 68 + 572 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225531868579) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20281558 + ... + 20292674.

It is an arithmetic number, because the mean of its divisors is an integer number (7990369478).

Almost surely, 2225531868572 is an apocalyptic number.

It is an amenable number.

225531868572 is an abundant number, since it is smaller than the sum of its proper divisors (349774733844).

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

225531868572 is a wasteful number, since it uses less digits than its factorization.

225531868572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16227 (or 16222 counting only the distinct ones).

The product of its digits is 8064000, while the sum is 54.

The spelling of 225531868572 in words is "two hundred twenty-five billion, five hundred thirty-one million, eight hundred sixty-eight thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 113 226 339 452 678 1017 1356 2034 4068 4987 9974 11117 14961 19948 22234 29922 33351 44468 44883 59844 66702 89766 100053 133404 179532 200106 400212 563531 1127062 1256221 1690593 2254124 2512442 3381186 3768663 5024884 5071779 6762372 7537326 10143558 11305989 15074652 20287116 22611978 45223956 55440479 110880958 166321437 221761916 332642874 498964311 665285748 997928622 1995857244 6264774127 12529548254 18794322381 25059096508 37588644762 56382967143 75177289524 112765934286 225531868572