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14122000 = 245323307
BaseRepresentation
bin110101110111…
…110000010000
3222120110202001
4311313300100
512103401000
61222403344
7231015004
oct65676020
928513661
1014122000
117a76082
124890554
132c05b19
141c38704
15138e46a
hexd77c10

14122000 has 80 divisors (see below), whose sum is σ = 35747712. Its totient is φ = 5385600.

The previous prime is 14121979. The next prime is 14122007. The reversal of 14122000 is 22141.

14122000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (10).

It is not an unprimeable number, because it can be changed into a prime (14122007) 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, 45847 + ... + 46153.

Almost surely, 214122000 is an apocalyptic number.

14122000 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 14122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17873856).

14122000 is an abundant number, since it is smaller than the sum of its proper divisors (21625712).

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

14122000 is a wasteful number, since it uses less digits than its factorization.

14122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 14122000 is about 3757.9249593359. The cubic root of 14122000 is about 241.7122915576.

Adding to 14122000 its reverse (22141), we get a palindrome (14144141).

The spelling of 14122000 in words is "fourteen million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 250 307 368 400 460 500 575 614 920 1000 1150 1228 1535 1840 2000 2300 2456 2875 3070 4600 4912 5750 6140 7061 7675 9200 11500 12280 14122 15350 23000 24560 28244 30700 35305 38375 46000 56488 61400 70610 76750 112976 122800 141220 153500 176525 282440 307000 353050 564880 614000 706100 882625 1412200 1765250 2824400 3530500 7061000 14122000