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231222411420 = 223571131331817
BaseRepresentation
bin1101011101010111101…
…1100000000010011100
3211002211021202112002120
43113111323200002130
512242020414131140
6254115550422540
722463623032360
oct3272573400234
9732737675076
10231222411420
118a074029000
123898bb01a50
1318a5ba24630
14b296a112a0
1560345641d0
hex35d5ee009c

231222411420 has 384 divisors, whose sum is σ = 876478482432. Its totient is φ = 44348958720.

The previous prime is 231222411401. The next prime is 231222411439. The reversal of 231222411420 is 24114222132.

231222411420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (231222411401) and next prime (231222411439).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 7251352 + ... + 7283168.

It is an arithmetic number, because the mean of its divisors is an integer number (2282496048).

Almost surely, 2231222411420 is an apocalyptic number.

231222411420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231222411420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438239241216).

231222411420 is an abundant number, since it is smaller than the sum of its proper divisors (645256071012).

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

231222411420 is a wasteful number, since it uses less digits than its factorization.

231222411420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31882 (or 31858 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 231222411420 its reverse (24114222132), we get a palindrome (255336633552).

The spelling of 231222411420 in words is "two hundred thirty-one billion, two hundred twenty-two million, four hundred eleven thousand, four hundred twenty".