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225272384131 = 3111399637499
BaseRepresentation
bin1101000111001101000…
…1111100101010000011
3210112110121201211002111
43101303101330222003
512142324212243011
6251253321000151
722163313446134
oct3216321745203
9715417654074
10225272384131
11875a042a483
12377ab323057
1318321104722
14ac906cdc8b
155cd6eed121
hex347347ca83

225272384131 has 8 divisors (see below), whose sum is σ = 232560000000. Its totient is φ = 217986066120.

The previous prime is 225272384123. The next prime is 225272384143. The reversal of 225272384131 is 131483272522.

It is a happy number.

225272384131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 225272384131 - 23 = 225272384123 is a prime.

It is a super-2 number, since 2×2252723841312 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (225272384171) 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 7 ways as a sum of consecutive naturals, for example, 34620 + ... + 672118.

It is an arithmetic number, because the mean of its divisors is an integer number (29070000000).

Almost surely, 2225272384131 is an apocalyptic number.

225272384131 is a deficient number, since it is larger than the sum of its proper divisors (7287615869).

225272384131 is a wasteful number, since it uses less digits than its factorization.

225272384131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648929.

The product of its digits is 161280, while the sum is 40.

The spelling of 225272384131 in words is "two hundred twenty-five billion, two hundred seventy-two million, three hundred eighty-four thousand, one hundred thirty-one".

Divisors: 1 31 11399 353369 637499 19762469 7266851101 225272384131