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204332401 = 72131718869
BaseRepresentation
bin11000010110111…
…01110101110001
3112020111011100201
430023131311301
5404302114101
632135315201
75030540200
oct1413356561
9466434321
10204332401
11a5381a59
125851bb01
1333443260
141d1cd237
1512e12e01
hexc2ddd71

204332401 has 24 divisors (see below), whose sum is σ = 271048680. Its totient is φ = 152151552.

The previous prime is 204332369. The next prime is 204332407. The reversal of 204332401 is 104233402.

It can be written as a sum of positive squares in 4 ways, for example, as 77792400 + 126540001 = 8820^2 + 11249^2 .

It is not a de Polignac number, because 204332401 - 25 = 204332369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (204332407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1395 + ... + 20263.

It is an arithmetic number, because the mean of its divisors is an integer number (11293695).

Almost surely, 2204332401 is an apocalyptic number.

It is an amenable number.

204332401 is a deficient number, since it is larger than the sum of its proper divisors (66716279).

204332401 is a wasteful number, since it uses less digits than its factorization.

204332401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18913 (or 18906 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 204332401 is about 14294.4884833281. The cubic root of 204332401 is about 588.9960913032.

Adding to 204332401 its reverse (104233402), we get a palindrome (308565803).

The spelling of 204332401 in words is "two hundred four million, three hundred thirty-two thousand, four hundred one".

Divisors: 1 7 13 17 49 91 119 221 637 833 1547 10829 18869 132083 245297 320773 924581 1717079 2245411 4170049 12019553 15717877 29190343 204332401