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204223050 = 232524111069
BaseRepresentation
bin11000010110000…
…11001001001010
3112020021121100200
430023003021022
5404240114200
632133113030
75026603323
oct1413031112
9466247320
10204223050
11a5307889
1258488776
1333405555
141d1a144a
1512de0800
hexc2c324a

204223050 has 72 divisors (see below), whose sum is σ = 562112460. Its totient is φ = 53126400.

The previous prime is 204223027. The next prime is 204223073. The reversal of 204223050 is 50322402.

It is an interprime number because it is at equal distance from previous prime (204223027) and next prime (204223073).

It can be written as a sum of positive squares in 6 ways, for example, as 3122289 + 201100761 = 1767^2 + 14181^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 12916 + ... + 23984.

Almost surely, 2204223050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204223050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281056230).

204223050 is an abundant number, since it is smaller than the sum of its proper divisors (357889410).

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

204223050 is a wasteful number, since it uses less digits than its factorization.

204223050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11128 (or 11120 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 204223050 is about 14290.6630357027. The cubic root of 204223050 is about 588.8910030514.

Adding to 204223050 its reverse (50322402), we get a palindrome (254545452).

The spelling of 204223050 in words is "two hundred four million, two hundred twenty-three thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 41 45 50 75 82 90 123 150 205 225 246 369 410 450 615 738 1025 1230 1845 2050 3075 3690 6150 9225 11069 18450 22138 33207 55345 66414 99621 110690 166035 199242 276725 332070 453829 498105 553450 830175 907658 996210 1361487 1660350 2269145 2490525 2722974 4084461 4538290 4981050 6807435 8168922 11345725 13614870 20422305 22691450 34037175 40844610 68074350 102111525 204223050