Search a number
-
+
205092396 = 22324722579
BaseRepresentation
bin11000011100101…
…11011000101100
3112021220202212200
430032113120230
5410000424041
632203501500
75040154005
oct1416273054
9467822780
10205092396
11a5850a53
1258827890
133364b162
141d34a1ac
15130131b6
hexc39762c

205092396 has 54 divisors (see below), whose sum is σ = 529898460. Its totient is φ = 66883632.

The previous prime is 205092389. The next prime is 205092409. The reversal of 205092396 is 693290502.

205092396 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 205092396.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 78235 + ... + 80813.

Almost surely, 2205092396 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 205092396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264949230).

205092396 is an abundant number, since it is smaller than the sum of its proper divisors (324806064).

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

205092396 is a wasteful number, since it uses less digits than its factorization.

205092396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2683 (or 2631 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 205092396 is about 14321.0473080707. The cubic root of 205092396 is about 589.7254261984.

The spelling of 205092396 in words is "two hundred five million, ninety-two thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1692 2209 2579 4418 5158 6627 7737 8836 10316 13254 15474 19881 23211 26508 30948 39762 46422 79524 92844 121213 242426 363639 484852 727278 1090917 1454556 2181834 4363668 5697011 11394022 17091033 22788044 34182066 51273099 68364132 102546198 205092396