Search a number
-
+
205200150 = 23523736973
BaseRepresentation
bin11000011101100…
…01101100010110
3112022010020200120
430032301230112
5410012401100
632210052410
75041113111
oct1416615426
9468106616
10205200150
11a5914a01
125887a106
133368820c
141d377578
15130350a0
hexc3b1b16

205200150 has 48 divisors (see below), whose sum is σ = 522664464. Its totient is φ = 53239680.

The previous prime is 205200137. The next prime is 205200161. The reversal of 205200150 is 51002502.

205200150 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 (15).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12937 + ... + 24036.

It is an arithmetic number, because the mean of its divisors is an integer number (10888843).

Almost surely, 2205200150 is an apocalyptic number.

205200150 is an abundant number, since it is smaller than the sum of its proper divisors (317464314).

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

205200150 is a wasteful number, since it uses less digits than its factorization.

205200150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37025 (or 37020 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 205200150 is about 14324.8088992489. The cubic root of 205200150 is about 589.8286872153.

Adding to 205200150 its reverse (51002502), we get a palindrome (256202652).

The spelling of 205200150 in words is "two hundred five million, two hundred thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 37 50 74 75 111 150 185 222 370 555 925 1110 1850 2775 5550 36973 73946 110919 184865 221838 369730 554595 924325 1109190 1368001 1848650 2736002 2772975 4104003 5545950 6840005 8208006 13680010 20520015 34200025 41040030 68400050 102600075 205200150