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14222000 = 245313547
BaseRepresentation
bin110110010000…
…001010110000
3222202112220202
4312100022300
512120101000
61224454332
7231612362
oct66201260
928675822
1014222000
118034221
12491a3a8
132c3c4b0
141c62d32
1513addd5
hexd902b0

14222000 has 80 divisors (see below), whose sum is σ = 37101792. Its totient is φ = 5241600.

The previous prime is 14221997. The next prime is 14222003. The reversal of 14222000 is 22241.

It is an interprime number because it is at equal distance from previous prime (14221997) and next prime (14222003).

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

It is not an unprimeable number, because it can be changed into a prime (14222003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25727 + ... + 26273.

Almost surely, 214222000 is an apocalyptic number.

14222000 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 14222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18550896).

14222000 is an abundant number, since it is smaller than the sum of its proper divisors (22879792).

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

14222000 is a wasteful number, since it uses less digits than its factorization.

14222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 14222000 is about 3771.2067034306. The cubic root of 14222000 is about 242.2814838151.

Adding to 14222000 its reverse (22241), we get a palindrome (14244241).

The spelling of 14222000 in words is "fourteen million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 547 650 1000 1040 1094 1300 1625 2000 2188 2600 2735 3250 4376 5200 5470 6500 7111 8752 10940 13000 13675 14222 21880 26000 27350 28444 35555 43760 54700 56888 68375 71110 109400 113776 136750 142220 177775 218800 273500 284440 355550 547000 568880 711100 888875 1094000 1422200 1777750 2844400 3555500 7111000 14222000