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204014652 = 223293131873
BaseRepresentation
bin11000010100100…
…00010000111100
3112012220000111020
430022100100330
5404211432102
632124424140
75025044622
oct1412202074
9465800436
10204014652
11a5185256
12583a8050
133336173a
141d149512
1512d9dbbc
hexc29043c

204014652 has 48 divisors (see below), whose sum is σ = 494286240. Its totient is φ = 65415168.

The previous prime is 204014651. The next prime is 204014659. The reversal of 204014652 is 256410402.

It is a super-2 number, since 2×2040146522 = 83243956461362208, which contains 22 as substring.

204014652 is a modest number, since divided by 14652 gives 204 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204014651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107988 + ... + 109860.

It is an arithmetic number, because the mean of its divisors is an integer number (10297630).

Almost surely, 2204014652 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 204014652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247143120).

204014652 is an abundant number, since it is smaller than the sum of its proper divisors (290271588).

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

204014652 is a wasteful number, since it uses less digits than its factorization.

204014652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2222 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 204014652 is about 14283.3697704708. The cubic root of 204014652 is about 588.6906249597.

The spelling of 204014652 in words is "two hundred four million, fourteen thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 313 348 626 939 1252 1873 1878 3746 3756 5619 7492 9077 11238 18154 22476 27231 36308 54317 54462 108634 108924 162951 217268 325902 586249 651804 1172498 1758747 2344996 3517494 7034988 17001221 34002442 51003663 68004884 102007326 204014652