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224147153206131 = 3533973550958497
BaseRepresentation
bin110010111101110001010011…
…011100011011101101110011
31002101122020222111111122222220
4302331301103130123231303
5213334411332210044011
62112415440341332123
765133045261063321
oct6275612334335563
91071566874448886
10224147153206131
11654693015317a1
1221181278107043
13980bca7bb857c
143d4cacc84ad11
151ada8adad0506
hexcbdc5371bb73

224147153206131 has 16 divisors (see below), whose sum is σ = 305268800156064. Its totient is φ = 146242674699264.

The previous prime is 224147153206129. The next prime is 224147153206157. The reversal of 224147153206131 is 131602351741422.

It is a happy number.

It is not a de Polignac number, because 224147153206131 - 21 = 224147153206129 is a prime.

It is a super-2 number, since 2×2241471532061312 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (224147153204131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1775416126 + ... + 1775542371.

It is an arithmetic number, because the mean of its divisors is an integer number (19079300009754).

Almost surely, 2224147153206131 is an apocalyptic number.

224147153206131 is a deficient number, since it is larger than the sum of its proper divisors (81121646949933).

224147153206131 is a wasteful number, since it uses less digits than its factorization.

224147153206131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3550958950.

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 224147153206131 in words is "two hundred twenty-four trillion, one hundred forty-seven billion, one hundred fifty-three million, two hundred six thousand, one hundred thirty-one".

Divisors: 1 3 53 159 397 1191 21041 63123 3550958497 10652875491 188200800341 564602401023 1409730523309 4229191569927 74715717735377 224147153206131