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203242400 = 2552254053
BaseRepresentation
bin11000001110100…
…11101110100000
3112011102210011022
430013103232200
5404012224100
632100105012
75015350304
oct1407235640
9464383138
10203242400
11a47a8029
1258095168
133315109a
141cdc7d04
1512c99e85
hexc1d3ba0

203242400 has 36 divisors (see below), whose sum is σ = 496167462. Its totient is φ = 81296640.

The previous prime is 203242367. The next prime is 203242427. The reversal of 203242400 is 4242302.

It can be written as a sum of positive squares in 3 ways, for example, as 123032464 + 80209936 = 11092^2 + 8956^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 126227 + ... + 127826.

Almost surely, 2203242400 is an apocalyptic number.

203242400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203242400 is an abundant number, since it is smaller than the sum of its proper divisors (292925062).

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

203242400 is a wasteful number, since it uses less digits than its factorization.

203242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254073 (or 254060 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 203242400 is about 14256.3108832545. The cubic root of 203242400 is about 587.9469000439.

Adding to 203242400 its reverse (4242302), we get a palindrome (207484702).

The spelling of 203242400 in words is "two hundred three million, two hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 254053 508106 1016212 1270265 2032424 2540530 4064848 5081060 6351325 8129696 10162120 12702650 20324240 25405300 40648480 50810600 101621200 203242400