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222134121431222 = 2711213173131361151
BaseRepresentation
bin110010100000011110100001…
…011001101000000010110110
31002010111210222212002001120212
4302200132201121220002312
5213103421140041244342
62104235001232225422
764534442415240350
oct6240364131500266
91063453885061525
10222134121431222
1164862608583600
1220ab70b799b272
1396c42088086b0
143cbd4c53200d0
151aa33419c6182
hexca07a16680b6

222134121431222 has 384 divisors, whose sum is σ = 494258008817664. Its totient is φ = 72529966080000.

The previous prime is 222134121431207. The next prime is 222134121431227.

It is a happy number.

222134121431222 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222134121431227) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3632520347 + ... + 3632581497.

It is an arithmetic number, because the mean of its divisors is an integer number (1287130231296).

Almost surely, 2222134121431222 is an apocalyptic number.

222134121431222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

222134121431222 is an abundant number, since it is smaller than the sum of its proper divisors (272123887386442).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

222134121431222 is a wasteful number, since it uses less digits than its factorization.

222134121431222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61556 (or 61545 counting only the distinct ones).

The product of its digits is 18432, while the sum is 32.

The spelling of 222134121431222 in words is "two hundred twenty-two trillion, one hundred thirty-four billion, one hundred twenty-one million, four hundred thirty-one thousand, two hundred twenty-two".