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14002200 = 2333522593
BaseRepresentation
bin110101011010…
…100000011000
3222100101102000
4311122200120
512041032300
61220041000
7230005512
oct65324030
928311360
1014002200
1179a4073
124833160
132b93434
141c06bb2
151368c00
hexd5a818

14002200 has 96 divisors (see below), whose sum is σ = 48248400. Its totient is φ = 3732480.

The previous prime is 14002187. The next prime is 14002201. The reversal of 14002200 is 220041.

It is a Harshad number since it is a multiple of its sum of digits (9).

14002200 is a modest number, since divided by 2200 gives 1400 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14002201) 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, 4104 + ... + 6696.

Almost surely, 214002200 is an apocalyptic number.

14002200 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 14002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24124200).

14002200 is an abundant number, since it is smaller than the sum of its proper divisors (34246200).

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

14002200 is a wasteful number, since it uses less digits than its factorization.

14002200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2618 (or 2603 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 14002200 is about 3741.9513625914. The cubic root of 14002200 is about 241.0268503110.

Adding to 14002200 its reverse (220041), we get a palindrome (14222241).

It can be divided in two parts, 1400 and 2200, that added together give a square (3600 = 602).

The spelling of 14002200 in words is "fourteen million, two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 108 120 135 150 180 200 216 225 270 300 360 450 540 600 675 900 1080 1350 1800 2593 2700 5186 5400 7779 10372 12965 15558 20744 23337 25930 31116 38895 46674 51860 62232 64825 70011 77790 93348 103720 116685 129650 140022 155580 186696 194475 233370 259300 280044 311160 350055 388950 466740 518600 560088 583425 700110 777900 933480 1166850 1400220 1555800 1750275 2333700 2800440 3500550 4667400 7001100 14002200