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204378112 = 212411217
BaseRepresentation
bin11000010111010…
…01000000000000
3112020120111001201
430023221000000
5404310044422
632140310544
75031120361
oct1413510000
9466514051
10204378112
11a5403334
1258542454
133345acc3
141d201b68
1512e21727
hexc2e9000

204378112 has 52 divisors (see below), whose sum is σ = 419018796. Its totient is φ = 99614720.

The previous prime is 204378103. The next prime is 204378113. The reversal of 204378112 is 211873402.

It can be written as a sum of positive squares in 2 ways, for example, as 33918976 + 170459136 = 5824^2 + 13056^2 .

It is not an unprimeable number, because it can be changed into a prime (204378113) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 167328 + ... + 168544.

Almost surely, 2204378112 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 204378112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209509398).

204378112 is an abundant number, since it is smaller than the sum of its proper divisors (214640684).

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

204378112 is an equidigital number, since it uses as much as digits as its factorization.

204378112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 204378112 is about 14296.0872968795. The cubic root of 204378112 is about 589.0400092734.

The spelling of 204378112 in words is "two hundred four million, three hundred seventy-eight thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 512 656 1024 1217 1312 2048 2434 2624 4096 4868 5248 9736 10496 19472 20992 38944 41984 49897 77888 83968 99794 155776 167936 199588 311552 399176 623104 798352 1246208 1596704 2492416 3193408 4984832 6386816 12773632 25547264 51094528 102189056 204378112