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9800222040 = 233257191971039
BaseRepresentation
bin10010010000010001…
…11000010101011000
3221021222211212021200
421020020320111120
5130032324101130
64300244434200
7464600340630
oct111010702530
927258755250
109800222040
114179a73964
121a960a8960
13c024b026b
1468d7db6c0
153c5599760
hex248238558

9800222040 has 384 divisors, whose sum is σ = 38548224000. Its totient is φ = 2109348864.

The previous prime is 9800222023. The next prime is 9800222071. The reversal of 9800222040 is 402220089.

It is a junction number, because it is equal to n+sod(n) for n = 9800221995 and 9800222013.

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, 9431841 + ... + 9432879.

It is an arithmetic number, because the mean of its divisors is an integer number (100386000).

Almost surely, 29800222040 is an apocalyptic number.

9800222040 is a gapful number since it is divisible by the number (90) 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 9800222040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19274112000).

9800222040 is an abundant number, since it is smaller than the sum of its proper divisors (28748001960).

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

9800222040 is a wasteful number, since it uses less digits than its factorization.

9800222040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1279 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 9800222040 is about 98996.0708311194. The cubic root of 9800222040 is about 2139.9911229142.

The spelling of 9800222040 in words is "nine billion, eight hundred million, two hundred twenty-two thousand, forty".