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203200240 = 24514917047
BaseRepresentation
bin11000001110010…
…01011011110000
3112011100122022211
430013021123300
5404004401430
632055141504
75015113345
oct1407113360
9464318284
10203200240
11a4779391
1258074894
1333137b39
141cdb67cc
1512c8c72a
hexc1c96f0

203200240 has 40 divisors (see below), whose sum is σ = 475639200. Its totient is φ = 80729856.

The previous prime is 203200237. The next prime is 203200253. The reversal of 203200240 is 42002302.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 203200240.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 3397 + ... + 20443.

It is an arithmetic number, because the mean of its divisors is an integer number (11890980).

Almost surely, 2203200240 is an apocalyptic number.

203200240 is a gapful number since it is divisible by the number (20) 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 203200240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237819600).

203200240 is an abundant number, since it is smaller than the sum of its proper divisors (272438960).

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

203200240 is a wasteful number, since it uses less digits than its factorization.

203200240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17209 (or 17203 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 203200240 is about 14254.8321631649. The cubic root of 203200240 is about 587.9062432461.

Adding to 203200240 its reverse (42002302), we get a palindrome (245202542).

The spelling of 203200240 in words is "two hundred three million, two hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 149 298 596 745 1192 1490 2384 2980 5960 11920 17047 34094 68188 85235 136376 170470 272752 340940 681880 1363760 2540003 5080006 10160012 12700015 20320024 25400030 40640048 50800060 101600120 203200240