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204164430 = 235431011567
BaseRepresentation
bin11000010101101…
…00110101001110
3112020011121221120
430022310311032
5404231230210
632131541410
75026240401
oct1412646516
9466147846
10204164430
11a5277838
125845a866
13333b4972
141d187d38
1512dcd270
hexc2b4d4e

204164430 has 64 divisors (see below), whose sum is σ = 506677248. Its totient is φ = 52617600.

The previous prime is 204164423. The next prime is 204164431. The reversal of 204164430 is 34461402.

204164430 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 2×2041644302 = 83366228954449800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 204164430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204164431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129507 + ... + 131073.

It is an arithmetic number, because the mean of its divisors is an integer number (7916832).

Almost surely, 2204164430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204164430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253338624).

204164430 is an abundant number, since it is smaller than the sum of its proper divisors (302512818).

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

204164430 is a wasteful number, since it uses less digits than its factorization.

204164430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1721.

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 204164430 is about 14288.6118989914. The cubic root of 204164430 is about 588.8346527454.

The spelling of 204164430 in words is "two hundred four million, one hundred sixty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 43 86 101 129 202 215 258 303 430 505 606 645 1010 1290 1515 1567 3030 3134 4343 4701 7835 8686 9402 13029 15670 21715 23505 26058 43430 47010 65145 67381 130290 134762 158267 202143 316534 336905 404286 474801 673810 791335 949602 1010715 1582670 2021430 2374005 4748010 6805481 13610962 20416443 34027405 40832886 68054810 102082215 204164430