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204246100 = 22525389433
BaseRepresentation
bin11000010110010…
…00110001010100
3112020022202222101
430023020301110
5404241333400
632133411444
75030030452
oct1413106124
9466282871
10204246100
11a5323133
1258499b84
1333412ba6
141d1a99d2
1512de756a
hexc2c8c54

204246100 has 72 divisors (see below), whose sum is σ = 457705080. Its totient is φ = 79073280.

The previous prime is 204246089. The next prime is 204246103. The reversal of 204246100 is 1642402.

It can be written as a sum of positive squares in 12 ways, for example, as 106750224 + 97495876 = 10332^2 + 9874^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204246103) 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 23 ways as a sum of consecutive naturals, for example, 471484 + ... + 471916.

It is an arithmetic number, because the mean of its divisors is an integer number (6357015).

Almost surely, 2204246100 is an apocalyptic number.

204246100 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 204246100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228852540).

204246100 is an abundant number, since it is smaller than the sum of its proper divisors (253458980).

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

204246100 is a wasteful number, since it uses less digits than its factorization.

204246100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 204246100 is about 14291.4694835766. The cubic root of 204246100 is about 588.9131576302.

Adding to 204246100 its reverse (1642402), we get a palindrome (205888502).

The spelling of 204246100 in words is "two hundred four million, two hundred forty-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 89 100 106 178 212 265 356 433 445 530 866 890 1060 1325 1732 1780 2165 2225 2650 4330 4450 4717 5300 8660 8900 9434 10825 18868 21650 22949 23585 38537 43300 45898 47170 77074 91796 94340 114745 117925 154148 192685 229490 235850 385370 458980 471700 573725 770740 963425 1147450 1926850 2042461 2294900 3853700 4084922 8169844 10212305 20424610 40849220 51061525 102123050 204246100