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225126037431 = 32123740135039
BaseRepresentation
bin1101000110101010001…
…1101011011110110111
3210112002102100122011100
43101222203223132313
512142024231144211
6251231012141143
722156555513311
oct3215243533667
9715072318140
10225126037431
1187525862a99
123776a3077b3
13182c99b4649
14ac790b67b1
155cc9241156
hex346a8eb7b7

225126037431 has 24 divisors (see below), whose sum is σ = 325590632640. Its totient is φ = 149895573696.

The previous prime is 225126037393. The next prime is 225126037439. The reversal of 225126037431 is 134730621522.

225126037431 is a `hidden beast` number, since 2 + 2 + 5 + 1 + 2 + 603 + 7 + 43 + 1 = 666.

It is not a de Polignac number, because 225126037431 - 211 = 225126035383 is a prime.

It is a super-2 number, since 2×2251260374312 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225126037439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44674210 + ... + 44679248.

It is an arithmetic number, because the mean of its divisors is an integer number (13566276360).

Almost surely, 2225126037431 is an apocalyptic number.

225126037431 is a deficient number, since it is larger than the sum of its proper divisors (100464595209).

225126037431 is a wasteful number, since it uses less digits than its factorization.

225126037431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10295 (or 10292 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 225126037431 its reverse (134730621522), we get a palindrome (359856658953).

The spelling of 225126037431 in words is "two hundred twenty-five billion, one hundred twenty-six million, thirty-seven thousand, four hundred thirty-one".

Divisors: 1 3 9 1237 3711 4013 5039 11133 12039 15117 36117 45351 4964081 6233243 14892243 18699729 20221507 44676729 56099187 60664521 181993563 25014004159 75042012477 225126037431