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204426216 = 233215118803
BaseRepresentation
bin11000010111101…
…00101111101000
3112020122221001100
430023310233220
5404313114331
632141321400
75031410541
oct1413645750
9466587040
10204426216
11a5436495
1258566260
1333476b77
141d2154c8
1512e30ae6
hexc2f4be8

204426216 has 48 divisors (see below), whose sum is σ = 557350560. Its totient is φ = 67687200.

The previous prime is 204426199. The next prime is 204426217. The reversal of 204426216 is 612624402.

204426216 is a `hidden beast` number, since 2 + 0 + 442 + 6 + 216 = 666.

204426216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 204426216.

It is not an unprimeable number, because it can be changed into a prime (204426217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1471 + ... + 20273.

It is an arithmetic number, because the mean of its divisors is an integer number (11611470).

Almost surely, 2204426216 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 204426216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278675280).

204426216 is an abundant number, since it is smaller than the sum of its proper divisors (352924344).

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

204426216 is a wasteful number, since it uses less digits than its factorization.

204426216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18966 (or 18959 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 204426216 is about 14297.7696162723. The cubic root of 204426216 is about 589.0862193063.

The spelling of 204426216 in words is "two hundred four million, four hundred twenty-six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 151 302 453 604 906 1208 1359 1812 2718 3624 5436 10872 18803 37606 56409 75212 112818 150424 169227 225636 338454 451272 676908 1353816 2839253 5678506 8517759 11357012 17035518 22714024 25553277 34071036 51106554 68142072 102213108 204426216