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412344000222 = 237211314395651
BaseRepresentation
bin1100000000000011001…
…11100001111011011110
31110102022221222112221020
412000001213201323132
523223440031001342
6513232254545010
741535161112600
oct6000147417336
91412287875836
10412344000222
11149968490480
1267ab9208166
132cb64b3819b
1415d59769170
15aad546a0ec
hex60019e1ede

412344000222 has 192 divisors, whose sum is σ = 1105437155328. Its totient is φ = 101235960000.

The previous prime is 412344000203. The next prime is 412344000239. The reversal of 412344000222 is 222000443214.

It is a junction number, because it is equal to n+sod(n) for n = 412344000192 and 412344000201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4263097 + ... + 4358747.

It is an arithmetic number, because the mean of its divisors is an integer number (5757485184).

Almost surely, 2412344000222 is an apocalyptic number.

412344000222 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 412344000222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552718577664).

412344000222 is an abundant number, since it is smaller than the sum of its proper divisors (693093155106).

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

412344000222 is a wasteful number, since it uses less digits than its factorization.

412344000222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95755 (or 95748 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 412344000222 its reverse (222000443214), we get a palindrome (634344443436).

The spelling of 412344000222 in words is "four hundred twelve billion, three hundred forty-four million, two hundred twenty-two", and thus it is an aban number.