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203200020 = 223251128889
BaseRepresentation
bin11000001110010…
…01011000010100
3112011100122000200
430013021120110
5404004400040
632055140500
75015112612
oct1407113024
9464318020
10203200020
11a4779201
1258074730
13331379ca
141cdb66b2
1512c8c630
hexc1c9614

203200020 has 36 divisors (see below), whose sum is σ = 616373940. Its totient is φ = 54186624.

The previous prime is 203200001. The next prime is 203200027. The reversal of 203200020 is 20002302.

It can be written as a sum of positive squares in 2 ways, for example, as 129686544 + 73513476 = 11388^2 + 8574^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 203199975 and 203200011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203200027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 564265 + ... + 564624.

Almost surely, 2203200020 is an apocalyptic number.

203200020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203200020 is an abundant number, since it is smaller than the sum of its proper divisors (413173920).

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

203200020 is a wasteful number, since it uses less digits than its factorization.

203200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128904 (or 1128899 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 203200020 is about 14254.8244464813. The cubic root of 203200020 is about 587.9060310754.

Adding to 203200020 its reverse (20002302), we get a palindrome (223202322).

The spelling of 203200020 in words is "two hundred three million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1128889 2257778 3386667 4515556 5644445 6773334 10160001 11288890 13546668 16933335 20320002 22577780 33866670 40640004 50800005 67733340 101600010 203200020