Search a number
-
+
14226800 = 245275081
BaseRepresentation
bin110110010001…
…010101110000
3222202210111112
4312101111300
512120224200
61224532452
7231632360
oct66212560
928683445
1014226800
118037895
124921128
132c41733
141c649a0
1513b0535
hexd91570

14226800 has 60 divisors (see below), whose sum is σ = 39070416. Its totient is φ = 4876800.

The previous prime is 14226787. The next prime is 14226809. The reversal of 14226800 is 862241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14226809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 260 + ... + 5340.

Almost surely, 214226800 is an apocalyptic number.

14226800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14226800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19535208).

14226800 is an abundant number, since it is smaller than the sum of its proper divisors (24843616).

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

14226800 is a wasteful number, since it uses less digits than its factorization.

14226800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5106 (or 5095 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 14226800 is about 3771.8430508175. The cubic root of 14226800 is about 242.3087378420.

The spelling of 14226800 in words is "fourteen million, two hundred twenty-six thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2800 5081 10162 20324 25405 35567 40648 50810 71134 81296 101620 127025 142268 177835 203240 254050 284536 355670 406480 508100 569072 711340 889175 1016200 1422680 1778350 2032400 2845360 3556700 7113400 14226800