Search a number
-
+
204314100 = 22352681047
BaseRepresentation
bin11000010110110…
…01010111110100
3112020110020020220
430023121113310
5404301022400
632135054340
75030432634
oct1413312764
9466406226
10204314100
11a536a231
12585113b0
1333437b23
141d1c66c4
1512e0c7a0
hexc2d95f4

204314100 has 36 divisors (see below), whose sum is σ = 591149664. Its totient is φ = 54483680.

The previous prime is 204314093. The next prime is 204314101. The reversal of 204314100 is 1413402.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 204314100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204314101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 340224 + ... + 340823.

It is an arithmetic number, because the mean of its divisors is an integer number (16420824).

Almost surely, 2204314100 is an apocalyptic number.

204314100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204314100 is an abundant number, since it is smaller than the sum of its proper divisors (386835564).

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

204314100 is a wasteful number, since it uses less digits than its factorization.

204314100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681064 (or 681057 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 204314100 is about 14293.8483271651. The cubic root of 204314100 is about 588.9785063302.

Adding to 204314100 its reverse (1413402), we get a palindrome (205727502).

It can be divided in two parts, 20431 and 4100, that added together give a triangular number (24531 = T221).

The spelling of 204314100 in words is "two hundred four million, three hundred fourteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 681047 1362094 2043141 2724188 3405235 4086282 6810470 8172564 10215705 13620940 17026175 20431410 34052350 40862820 51078525 68104700 102157050 204314100