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225522520146 = 232711162714661
BaseRepresentation
bin1101001000001000110…
…0001001000001010010
3210120010001102001012100
43102002030021001102
512143332231121041
6251334214141230
722202441535510
oct3220214110122
9716101361170
10225522520146
1187709646360
123785b051816
1318360b93cc1
14acb5a034b0
155cede5c6b6
hex3482309052

225522520146 has 48 divisors (see below), whose sum is σ = 609203694528. Its totient is φ = 58577277600.

The previous prime is 225522520123. The next prime is 225522520147. The reversal of 225522520146 is 641025225522.

225522520146 is a `hidden beast` number, since 22 + 55 + 22 + 520 + 1 + 46 = 666.

It is a super-2 number, since 2×2255225201462 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 225522520146.

It is not an unprimeable number, because it can be changed into a prime (225522520147) 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, 81355945 + ... + 81358716.

It is an arithmetic number, because the mean of its divisors is an integer number (12691743636).

Almost surely, 2225522520146 is an apocalyptic number.

225522520146 is an abundant number, since it is smaller than the sum of its proper divisors (383681174382).

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

225522520146 is a wasteful number, since it uses less digits than its factorization.

225522520146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162714687 (or 162714684 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 225522520146 its reverse (641025225522), we get a palindrome (866547745668).

The spelling of 225522520146 in words is "two hundred twenty-five billion, five hundred twenty-two million, five hundred twenty thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1386 162714661 325429322 488143983 976287966 1139002627 1464431949 1789861271 2278005254 2928863898 3417007881 3579722542 5369583813 6834015762 10251023643 10739167626 12529028897 16108751439 20502047286 25058057794 32217502878 37587086691 75174173382 112761260073 225522520146