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455224250241 = 32175356138149
BaseRepresentation
bin1101001111111010111…
…10101100111110000001
31121112000100201221200100
412213331132230332001
524424244402001431
6545043243313013
744613611166015
oct6477536547601
91545010657610
10455224250241
11166072248a32
127428581b769
1333c09834aa7
141806668a545
15bc94c3e4e6
hex69fd7acf81

455224250241 has 24 divisors (see below), whose sum is σ = 709361663400. Its totient is φ = 280241634816.

The previous prime is 455224250189. The next prime is 455224250279. The reversal of 455224250241 is 142052422554.

455224250241 is a `hidden beast` number, since 4 + 5 + 522 + 42 + 50 + 2 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 180118755216 + 275105495025 = 424404^2 + 524505^2 .

It is not a de Polignac number, because 455224250241 - 27 = 455224250113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 455224250196 and 455224250205.

It is not an unprimeable number, because it can be changed into a prime (455224250291) 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, 28060966 + ... + 28077183.

It is an arithmetic number, because the mean of its divisors is an integer number (29556735975).

Almost surely, 2455224250241 is an apocalyptic number.

It is an amenable number.

455224250241 is a deficient number, since it is larger than the sum of its proper divisors (254137413159).

455224250241 is a wasteful number, since it uses less digits than its factorization.

455224250241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56138225 (or 56138222 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

Adding to 455224250241 its reverse (142052422554), we get a palindrome (597276672795).

The spelling of 455224250241 in words is "four hundred fifty-five billion, two hundred twenty-four million, two hundred fifty thousand, two hundred forty-one".

Divisors: 1 3 9 17 51 53 153 159 477 901 2703 8109 56138149 168414447 505243341 954348533 2863045599 2975321897 8589136797 8925965691 26777897073 50580472249 151741416747 455224250241