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200823030408 = 2337211131279403
BaseRepresentation
bin1011101100000111111…
…1000100001010001000
3201012100200221221222010
42323001333010022020
511242241143433113
6232131250255520
720336403410400
oct2730177041210
9635320857863
10200823030408
1178194402120
1232b072875a0
1315c259a6910
149a11523800
15535584a1c3
hex2ec1fc4288

200823030408 has 384 divisors, whose sum is σ = 691604766720. Its totient is φ = 47765168640.

The previous prime is 200823030379. The next prime is 200823030431. The reversal of 200823030408 is 804030328002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21352635 + ... + 21362037.

It is an arithmetic number, because the mean of its divisors is an integer number (1801054080).

Almost surely, 2200823030408 is an apocalyptic number.

200823030408 is a gapful number since it is divisible by the number (28) 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 200823030408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345802383360).

200823030408 is an abundant number, since it is smaller than the sum of its proper divisors (490781736312).

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

200823030408 is a wasteful number, since it uses less digits than its factorization.

200823030408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9577 (or 9566 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 200823030408 in words is "two hundred billion, eight hundred twenty-three million, thirty thousand, four hundred eight".