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14022180 = 22335231129
BaseRepresentation
bin110101011111…
…011000100100
3222101101211000
4311133120210
512042202210
61220313300
7230120664
oct65373044
928341730
1014022180
117a08087
124842830
132b9c563
141c101a4
15136eac0
hexd5f624

14022180 has 96 divisors (see below), whose sum is σ = 45561600. Its totient is φ = 3573504.

The previous prime is 14022143. The next prime is 14022187. The reversal of 14022180 is 8122041.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (14022187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11856 + ... + 12984.

It is an arithmetic number, because the mean of its divisors is an integer number (474600).

Almost surely, 214022180 is an apocalyptic number.

14022180 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 14022180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22780800).

14022180 is an abundant number, since it is smaller than the sum of its proper divisors (31539420).

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

14022180 is a wasteful number, since it uses less digits than its factorization.

14022180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 14022180 is about 3744.6201409489. The cubic root of 14022180 is about 241.1414377268.

The spelling of 14022180 in words is "fourteen million, twenty-two thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 90 92 108 115 135 138 180 207 230 270 276 345 414 460 540 621 690 828 1035 1129 1242 1380 2070 2258 2484 3105 3387 4140 4516 5645 6210 6774 10161 11290 12420 13548 16935 20322 22580 25967 30483 33870 40644 50805 51934 60966 67740 77901 101610 103868 121932 129835 152415 155802 203220 233703 259670 304830 311604 389505 467406 519340 609660 701109 779010 934812 1168515 1402218 1558020 2337030 2804436 3505545 4674060 7011090 14022180