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204120333 = 3226098693
BaseRepresentation
bin11000010101010…
…10000100001101
3112020002101110100
430022222010031
5404223322313
632131001313
75025665004
oct1412520415
9466071410
10204120333
11a524769a
1258439239
133339a881
141d175c3b
1512dc0173
hexc2aa10d

204120333 has 12 divisors (see below), whose sum is σ = 294987420. Its totient is φ = 136012416.

The previous prime is 204120313. The next prime is 204120347. The reversal of 204120333 is 333021402.

It can be written as a sum of positive squares in 2 ways, for example, as 46416969 + 157703364 = 6813^2 + 12558^2 .

It is not a de Polignac number, because 204120333 - 29 = 204119821 is a prime.

It is a super-2 number, since 2×2041203332 = 83330220688061778, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204120313) 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, 19135 + ... + 27827.

It is an arithmetic number, because the mean of its divisors is an integer number (24582285).

Almost surely, 2204120333 is an apocalyptic number.

It is an amenable number.

204120333 is a deficient number, since it is larger than the sum of its proper divisors (90867087).

204120333 is a wasteful number, since it uses less digits than its factorization.

204120333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11308 (or 11305 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 204120333 is about 14287.0687336486. The cubic root of 204120333 is about 588.7922560175.

Adding to 204120333 its reverse (333021402), we get a palindrome (537141735).

The spelling of 204120333 in words is "two hundred four million, one hundred twenty thousand, three hundred thirty-three".

Divisors: 1 3 9 2609 7827 8693 23481 26079 78237 22680037 68040111 204120333