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200395104 = 253721329113
BaseRepresentation
bin10111111000111…
…00100101100000
3111222002010101220
423330130211200
5402300120404
631515055040
74652221200
oct1374344540
9458063356
10200395104
11a3132898
1257141480
13326950b0
141c886400
15128d64d9
hexbf1c960

200395104 has 288 divisors, whose sum is σ = 687748320. Its totient is φ = 50577408.

The previous prime is 200395103. The next prime is 200395123. The reversal of 200395104 is 401593002.

200395104 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200395103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1773352 + ... + 1773464.

It is an arithmetic number, because the mean of its divisors is an integer number (2388015).

Almost surely, 2200395104 is an apocalyptic number.

200395104 is a gapful number since it is divisible by the number (24) 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 200395104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343874160).

200395104 is an abundant number, since it is smaller than the sum of its proper divisors (487353216).

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

200395104 is a wasteful number, since it uses less digits than its factorization.

200395104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 200395104 is about 14156.0977673934. The cubic root of 200395104 is about 585.1883913664.

The spelling of 200395104 in words is "two hundred million, three hundred ninety-five thousand, one hundred four".