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204135252 = 223174332311
BaseRepresentation
bin11000010101011…
…01101101010100
3112020010010220220
430022231231110
5404224312002
632131154340
75026056336
oct1412555524
9466103826
10204135252
11a5257922
12584459b0
13333a45b9
141d17b456
1512dc47bc
hexc2adb54

204135252 has 48 divisors (see below), whose sum is σ = 505717632. Its totient is φ = 63866880.

The previous prime is 204135209. The next prime is 204135271. The reversal of 204135252 is 252531402.

204135252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2041352522 = 83342402218207008, which contains 22 as substring.

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, 87177 + ... + 89487.

It is an arithmetic number, because the mean of its divisors is an integer number (10535784).

Almost surely, 2204135252 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 204135252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252858816).

204135252 is an abundant number, since it is smaller than the sum of its proper divisors (301582380).

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

204135252 is a wasteful number, since it uses less digits than its factorization.

204135252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2768 (or 2766 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 204135252 is about 14287.5908396062. The cubic root of 204135252 is about 588.8066004609.

Adding to 204135252 its reverse (252531402), we get a palindrome (456666654).

The spelling of 204135252 in words is "two hundred four million, one hundred thirty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 433 866 1299 1732 2311 2598 4622 5196 6933 7361 9244 13866 14722 22083 27732 29444 39287 44166 78574 88332 117861 157148 235722 471444 1000663 2001326 3001989 4002652 6003978 12007956 17011271 34022542 51033813 68045084 102067626 204135252