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204323220 = 223251135129
BaseRepresentation
bin11000010110110…
…11100110010100
3112020110200202200
430023123212110
5404301320340
632135204500
75030501343
oct1413334624
9466420680
10204323220
11a5376072
1258516730
133343c01a
141d1c9b5a
1512e10330
hexc2db994

204323220 has 36 divisors (see below), whose sum is σ = 619780980. Its totient is φ = 54486144.

The previous prime is 204323219. The next prime is 204323227. The reversal of 204323220 is 22323402.

204323220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 39765636 + 164557584 = 6306^2 + 12828^2 .

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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 204323193 and 204323202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204323227) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 567385 + ... + 567744.

Almost surely, 2204323220 is an apocalyptic number.

204323220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204323220 is an abundant number, since it is smaller than the sum of its proper divisors (415457760).

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

204323220 is a wasteful number, since it uses less digits than its factorization.

204323220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135144 (or 1135139 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 204323220 is about 14294.1673419615. The cubic root of 204323220 is about 588.9872696413.

Adding to 204323220 its reverse (22323402), we get a palindrome (226646622).

The spelling of 204323220 in words is "two hundred four million, three hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1135129 2270258 3405387 4540516 5675645 6810774 10216161 11351290 13621548 17026935 20432322 22702580 34053870 40864644 51080805 68107740 102161610 204323220