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203129856 = 210343179
BaseRepresentation
bin11000001101110…
…00010000000000
3112011020001210000
430012320100000
5404000123411
632053440000
75014401216
oct1406702000
9464201700
10203129856
11a4730516
1258040000
1333111aa7
141cd98cb6
1512c76956
hexc1b8400

203129856 has 220 divisors, whose sum is σ = 634078720. Its totient is φ = 64696320.

The previous prime is 203129851. The next prime is 203129879. The reversal of 203129856 is 658921302.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 203129856.

It is not an unprimeable number, because it can be changed into a prime (203129851) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2571225 + ... + 2571303.

It is an arithmetic number, because the mean of its divisors is an integer number (2882176).

Almost surely, 2203129856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203129856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317039360).

203129856 is an abundant number, since it is smaller than the sum of its proper divisors (430948864).

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

203129856 is an equidigital number, since it uses as much as digits as its factorization.

203129856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 203129856 is about 14252.3631724707. The cubic root of 203129856 is about 587.8383562339.

The spelling of 203129856 in words is "two hundred three million, one hundred twenty-nine thousand, eight hundred fifty-six".