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2245822136523 = 3372412012
BaseRepresentation
bin100000101011100101011…
…011100100000011001011
321221200212012120020211000
4200223211123210003023
5243243420431332043
64435414430310043
7321153365121600
oct40534533440313
97850765506730
102245822136523
117964a20583a9
12303309358323
13133a1abc82a4
147a9ac48c6a7
153d64413b2d3
hex20ae56e40cb

2245822136523 has 36 divisors (see below), whose sum is σ = 3870445014840. Its totient is φ = 1283295787200.

The previous prime is 2245822136513. The next prime is 2245822136549. The reversal of 2245822136523 is 3256312285422.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2245822136523 is a `hidden beast` number, since 2 + 2 + 4 + 582 + 2 + 1 + 3 + 65 + 2 + 3 = 666.

It is not a de Polignac number, because 2245822136523 - 210 = 2245822135499 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2245822136513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 54488323 + ... + 54529523.

Almost surely, 22245822136523 is an apocalyptic number.

2245822136523 is a deficient number, since it is larger than the sum of its proper divisors (1624622878317).

2245822136523 is an frugal number, since it uses more digits than its factorization.

2245822136523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82425 (or 41211 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The spelling of 2245822136523 in words is "two trillion, two hundred forty-five billion, eight hundred twenty-two million, one hundred thirty-six thousand, five hundred twenty-three".

Divisors: 1 3 7 9 21 27 49 63 147 189 441 1323 41201 123603 288407 370809 865221 1112427 2018849 2595663 6056547 7786989 18169641 54508923 1697522401 5092567203 11882656807 15277701609 35647970421 45833104827 83178597649 106943911263 249535792947 320831733789 748607378841 2245822136523