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204006114 = 23413157617
BaseRepresentation
bin11000010100011…
…10001011100010
3112012212120210000
430022032023202
5404211143424
632124320430
75025011004
oct1412161342
9465776700
10204006114
11a51798a4
12583a3116
133335a8a0
141d146374
1512d9b3c9
hexc28e2e2

204006114 has 80 divisors (see below), whose sum is σ = 496226808. Its totient is φ = 62270208.

The previous prime is 204006109. The next prime is 204006149. The reversal of 204006114 is 411600402.

204006114 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 59213025 + 144793089 = 7695^2 + 12033^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 330334 + ... + 330950.

Almost surely, 2204006114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204006114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248113404).

204006114 is an abundant number, since it is smaller than the sum of its proper divisors (292220694).

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

204006114 is a wasteful number, since it uses less digits than its factorization.

204006114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 204006114 is about 14283.0708882929. The cubic root of 204006114 is about 588.6824126236.

Adding to 204006114 its reverse (411600402), we get a palindrome (615606516).

The spelling of 204006114 in words is "two hundred four million, six thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 157 162 234 314 351 471 617 702 942 1053 1234 1413 1851 2041 2106 2826 3702 4082 4239 5553 6123 8021 8478 11106 12246 12717 16042 16659 18369 24063 25434 33318 36738 48126 49977 55107 72189 96869 99954 110214 144378 165321 193738 216567 290607 330642 433134 581214 649701 871821 1259297 1299402 1743642 2518594 2615463 3777891 5230926 7555782 7846389 11333673 15692778 22667346 34001019 68002038 102003057 204006114