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204321216 = 26311891087
BaseRepresentation
bin11000010110110…
…11000111000000
3112020110121000110
430023123013000
5404301234331
632135151320
75030462451
oct1413330700
9466417013
10204321216
11a5374610
1258515540
133343b138
141d1c9128
1512e0e946
hexc2db1c0

204321216 has 112 divisors (see below), whose sum is σ = 596920320. Its totient is φ = 61163520.

The previous prime is 204321191. The next prime is 204321239. The reversal of 204321216 is 612123402.

It is a junction number, because it is equal to n+sod(n) for n = 204321192 and 204321201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187425 + ... + 188511.

Almost surely, 2204321216 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 204321216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298460160).

204321216 is an abundant number, since it is smaller than the sum of its proper divisors (392599104).

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

204321216 is a wasteful number, since it uses less digits than its factorization.

204321216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 204321216 is about 14294.0972432679. The cubic root of 204321216 is about 588.9853440413.

Adding to 204321216 its reverse (612123402), we get a palindrome (816444618).

The spelling of 204321216 in words is "two hundred four million, three hundred twenty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 89 96 132 176 178 192 264 267 352 356 528 534 704 712 979 1056 1068 1087 1424 1958 2112 2136 2174 2848 2937 3261 3916 4272 4348 5696 5874 6522 7832 8544 8696 11748 11957 13044 15664 17088 17392 23496 23914 26088 31328 34784 35871 46992 47828 52176 62656 69568 71742 93984 95656 96743 104352 143484 187968 191312 193486 208704 286968 290229 382624 386972 573936 580458 765248 773944 1064173 1147872 1160916 1547888 2128346 2295744 2321832 3095776 3192519 4256692 4643664 6191552 6385038 8513384 9287328 12770076 17026768 18574656 25540152 34053536 51080304 68107072 102160608 204321216