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2144200 = 235271151
BaseRepresentation
bin1000001011011111001000
311000221021211
420023133020
51022103300
6113542504
724140212
oct10133710
94027254
102144200
111234a73
12874a34
135a0c76
143db5b2
152c54ba
hex20b7c8

2144200 has 48 divisors (see below), whose sum is σ = 5088960. Its totient is φ = 840000.

The previous prime is 2144189. The next prime is 2144209. The reversal of 2144200 is 24412.

It is not an unprimeable number, because it can be changed into a prime (2144209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14125 + ... + 14275.

It is an arithmetic number, because the mean of its divisors is an integer number (106020).

22144200 is an apocalyptic number.

2144200 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 2144200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2544480).

2144200 is an abundant number, since it is smaller than the sum of its proper divisors (2944760).

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

2144200 is a wasteful number, since it uses less digits than its factorization.

2144200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 2144200 is about 1464.3087106208. The cubic root of 2144200 is about 128.9501239392.

Adding to 2144200 its reverse (24412), we get a palindrome (2168612).

The spelling of 2144200 in words is "two million, one hundred forty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 100 142 151 200 284 302 355 568 604 710 755 1208 1420 1510 1775 2840 3020 3550 3775 6040 7100 7550 10721 14200 15100 21442 30200 42884 53605 85768 107210 214420 268025 428840 536050 1072100 2144200