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2014200 = 233352373
BaseRepresentation
bin111101011101111111000
310210022222000
413223233320
51003423300
6111101000
723056206
oct7535770
93708860
102014200
111156331
12811760
13556a46
143a6076
1529bc00
hex1ebbf8

2014200 has 96 divisors (see below), whose sum is σ = 6956400. Its totient is φ = 535680.

The previous prime is 2014193. The next prime is 2014213. The reversal of 2014200 is 24102.

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5214 + ... + 5586.

22014200 is an apocalyptic number.

2014200 is a gapful number since it is divisible by the number (20) 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 2014200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3478200).

2014200 is an abundant number, since it is smaller than the sum of its proper divisors (4942200).

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

2014200 is a wasteful number, since it uses less digits than its factorization.

2014200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 383 counting only the distinct ones).

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

The square root of 2014200 is about 1419.2251407018. The cubic root of 2014200 is about 126.2895833793.

Adding to 2014200 its reverse (24102), we get a palindrome (2038302).

The spelling of 2014200 in words is "two million, fourteen 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 90 100 108 120 135 150 180 200 216 225 270 300 360 373 450 540 600 675 746 900 1080 1119 1350 1492 1800 1865 2238 2700 2984 3357 3730 4476 5400 5595 6714 7460 8952 9325 10071 11190 13428 14920 16785 18650 20142 22380 26856 27975 33570 37300 40284 44760 50355 55950 67140 74600 80568 83925 100710 111900 134280 167850 201420 223800 251775 335700 402840 503550 671400 1007100 2014200