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223412133231 = 33737100931663
BaseRepresentation
bin1101000000010001100…
…1101001110101101111
3210100122222100021121000
43100010121221311233
512130022001230411
6250344545211343
722066234541130
oct3200431516557
9710588307530
10223412133231
1186826363441
1237370330b53
13180b58aa451
14ab55611c87
155c28a42956
hex3404669d6f

223412133231 has 64 divisors (see below), whose sum is σ = 388884582400. Its totient is φ = 124086670848.

The previous prime is 223412133229. The next prime is 223412133277. The reversal of 223412133231 is 132331214322.

223412133231 is a `hidden beast` number, since 2 + 2 + 3 + 412 + 13 + 3 + 231 = 666.

223412133231 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 223412133231 - 21 = 223412133229 is a prime.

It is a super-2 number, since 2×2234121332312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 223412133195 and 223412133204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223412137231) 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 63 ways as a sum of consecutive naturals, for example, 7040106 + ... + 7071768.

It is an arithmetic number, because the mean of its divisors is an integer number (6076321600).

Almost surely, 2223412133231 is an apocalyptic number.

223412133231 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

223412133231 is a deficient number, since it is larger than the sum of its proper divisors (165472449169).

223412133231 is a wasteful number, since it uses less digits than its factorization.

223412133231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32725 (or 32719 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 223412133231 its reverse (132331214322), we get a palindrome (355743347553).

The spelling of 223412133231 in words is "two hundred twenty-three billion, four hundred twelve million, one hundred thirty-three thousand, two hundred thirty-one".

Divisors: 1 3 7 9 21 27 37 63 111 189 259 333 777 999 1009 2331 3027 6993 7063 9081 21189 27243 31663 37333 63567 94989 111999 190701 221641 261331 284967 335997 664923 783993 854901 1007991 1171531 1994769 2351979 3514593 5984307 7055937 8200717 10543779 24602151 31631337 31947967 73806453 95843901 221419359 223635769 287531703 670907307 862595109 1182074779 2012721921 3546224337 6038165763 8274523453 10638673011 24823570359 31916019033 74470711077 223412133231