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2114200 = 235211312
BaseRepresentation
bin1000000100001010011000
310222102010201
420010022120
51020123300
6113151544
723653564
oct10041230
93872121
102114200
111214480
1285b5b4
1359040a
143d06a4
152bb66a
hex204298

2114200 has 72 divisors (see below), whose sum is σ = 5540940. Its totient is φ = 744000.

The previous prime is 2114197. The next prime is 2114207. The reversal of 2114200 is 24112.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 68185 + ... + 68215.

22114200 is an apocalyptic number.

2114200 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 2114200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2770470).

2114200 is an abundant number, since it is smaller than the sum of its proper divisors (3426740).

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

2114200 is a wasteful number, since it uses less digits than its factorization.

2114200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 49 counting only the distinct ones).

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

The square root of 2114200 is about 1454.0288855453. The cubic root of 2114200 is about 128.3459068283.

Adding to 2114200 its reverse (24112), we get a palindrome (2138312).

The spelling of 2114200 in words is "two million, one hundred fourteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 31 40 44 50 55 62 88 100 110 124 155 200 220 248 275 310 341 440 550 620 682 775 961 1100 1240 1364 1550 1705 1922 2200 2728 3100 3410 3844 4805 6200 6820 7688 8525 9610 10571 13640 17050 19220 21142 24025 34100 38440 42284 48050 52855 68200 84568 96100 105710 192200 211420 264275 422840 528550 1057100 2114200