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14222320 = 2457109233
BaseRepresentation
bin110110010000…
…001111110000
3222202120100121
4312100033300
512120103240
61224500024
7231613330
oct66201760
928676317
1014222320
118034492
12491a614
132c3c698
141c630c0
1513ae04a
hexd903f0

14222320 has 80 divisors (see below), whose sum is σ = 38301120. Its totient is φ = 4810752.

The previous prime is 14222269. The next prime is 14222321. The reversal of 14222320 is 2322241.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 14222294 and 14222303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14222321) 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 15 ways as a sum of consecutive naturals, for example, 60924 + ... + 61156.

It is an arithmetic number, because the mean of its divisors is an integer number (478764).

Almost surely, 214222320 is an apocalyptic number.

14222320 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 14222320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19150560).

14222320 is an abundant number, since it is smaller than the sum of its proper divisors (24078800).

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

14222320 is a wasteful number, since it uses less digits than its factorization.

14222320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 14222320 is about 3771.2491299303. The cubic root of 14222320 is about 242.2833009410.

Adding to 14222320 its reverse (2322241), we get a palindrome (16544561).

The spelling of 14222320 in words is "fourteen million, two hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 109 112 140 218 233 280 436 466 545 560 763 872 932 1090 1165 1526 1631 1744 1864 2180 2330 3052 3262 3728 3815 4360 4660 6104 6524 7630 8155 8720 9320 12208 13048 15260 16310 18640 25397 26096 30520 32620 50794 61040 65240 101588 126985 130480 177779 203176 253970 355558 406352 507940 711116 888895 1015880 1422232 1777790 2031760 2844464 3555580 7111160 14222320