Search a number
-
+
204444604 = 227136783101
BaseRepresentation
bin11000010111110…
…01001110111100
3112020200212021101
430023321032330
5404314211404
632141542444
75031515260
oct1413711674
9466625241
10204444604
11a5449291
1258574a24
1333482350
141d21c0a0
1512e362a4
hexc2f93bc

204444604 has 96 divisors (see below), whose sum is σ = 456777216. Its totient is φ = 77932800.

The previous prime is 204444593. The next prime is 204444619. The reversal of 204444604 is 406444402.

204444604 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2044446042 = 83595192209433632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2024154 + ... + 2024254.

It is an arithmetic number, because the mean of its divisors is an integer number (4758096).

Almost surely, 2204444604 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 204444604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228388608).

204444604 is an abundant number, since it is smaller than the sum of its proper divisors (252332612).

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

204444604 is a wasteful number, since it uses less digits than its factorization.

204444604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The square root of 204444604 is about 14298.4126391708. The cubic root of 204444604 is about 589.1038814125.

The spelling of 204444604 in words is "two hundred four million, four hundred forty-four thousand, six hundred four".

Divisors: 1 2 4 7 13 14 26 28 52 67 83 91 101 134 166 182 202 268 332 364 404 469 581 707 871 938 1079 1162 1313 1414 1742 1876 2158 2324 2626 2828 3484 4316 5252 5561 6097 6767 7553 8383 9191 11122 12194 13534 15106 16766 18382 22244 24388 27068 30212 33532 36764 38927 47369 58681 72293 77854 87971 94738 108979 117362 144586 155708 175942 189476 217958 234724 289172 351884 435916 506051 561661 615797 762853 1012102 1123322 1231594 1525706 2024204 2246644 2463188 3051412 3931627 7301593 7863254 14603186 15726508 29206372 51111151 102222302 204444604