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14226408 = 23337972
BaseRepresentation
bin110110010001…
…001111101000
3222202202222000
4312101033220
512120221113
61224531000
7231631260
oct66211750
928682860
1014226408
118037569
124920a60
132c414c1
141c647a0
1513b0373
hexd913e8

14226408 has 96 divisors (see below), whose sum is σ = 45633600. Its totient is φ = 4022784.

The previous prime is 14226403. The next prime is 14226409. The reversal of 14226408 is 80462241.

14226408 is a `hidden beast` number, since 14 + 2 + 2 + 640 + 8 = 666.

14226408 is digitally balanced in base 2 and base 4, because in such bases 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 (27).

It is not an unprimeable number, because it can be changed into a prime (14226403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146616 + ... + 146712.

It is an arithmetic number, because the mean of its divisors is an integer number (475350).

Almost surely, 214226408 is an apocalyptic number.

14226408 is a gapful number since it is divisible by the number (18) 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 14226408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22816800).

14226408 is an abundant number, since it is smaller than the sum of its proper divisors (31407192).

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

14226408 is an equidigital number, since it uses as much as digits as its factorization.

14226408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 14226408 is about 3771.7910864734. The cubic root of 14226408 is about 242.3065123264.

Adding to 14226408 its reverse (80462241), we get a palindrome (94688649).

The spelling of 14226408 in words is "fourteen million, two hundred twenty-six thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 97 108 126 168 189 194 216 252 291 378 388 504 582 679 756 776 873 1164 1358 1512 1746 2037 2328 2619 2716 3492 4074 5238 5432 6111 6984 8148 9409 10476 12222 16296 18333 18818 20952 24444 28227 36666 37636 48888 56454 65863 73332 75272 84681 112908 131726 146664 169362 197589 225816 254043 263452 338724 395178 508086 526904 592767 677448 790356 1016172 1185534 1580712 1778301 2032344 2371068 3556602 4742136 7113204 14226408