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204121332 = 2232191072789
BaseRepresentation
bin11000010101010…
…10010011110100
3112020002102211100
430022222103310
5404223340312
632131010100
75026000632
oct1412522364
9466072740
10204121332
11a5248418
1258439930
133339b16c
141d176352
1512dc05dc
hexc2aa4f4

204121332 has 72 divisors (see below), whose sum is σ = 548402400. Its totient is φ = 63834048.

The previous prime is 204121331. The next prime is 204121339. The reversal of 204121332 is 233121402.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204121331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71794 + ... + 74582.

It is an arithmetic number, because the mean of its divisors is an integer number (7616700).

Almost surely, 2204121332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204121332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274201200).

204121332 is an abundant number, since it is smaller than the sum of its proper divisors (344281068).

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

204121332 is a wasteful number, since it uses less digits than its factorization.

204121332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2925 (or 2920 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 204121332 is about 14287.1036952911. The cubic root of 204121332 is about 588.7932165661.

Adding to 204121332 its reverse (233121402), we get a palindrome (437242734).

The spelling of 204121332 in words is "two hundred four million, one hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 107 114 171 214 228 321 342 428 642 684 963 1284 1926 2033 2789 3852 4066 5578 6099 8132 8367 11156 12198 16734 18297 24396 25101 33468 36594 50202 52991 73188 100404 105982 158973 211964 298423 317946 476919 596846 635892 895269 953838 1193692 1790538 1907676 2685807 3581076 5371614 5670037 10743228 11340074 17010111 22680148 34020222 51030333 68040444 102060666 204121332