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2144700 = 2232522383
BaseRepresentation
bin1000001011100110111100
311000221222100
420023212330
51022112300
6113545100
724141525
oct10134674
94027870
102144700
111235388
12875190
135a126c
143db84c
152c5700
hex20b9bc

2144700 has 54 divisors (see below), whose sum is σ = 6725264. Its totient is φ = 571680.

The previous prime is 2144689. The next prime is 2144707. The reversal of 2144700 is 74412.

It is a happy number.

2144700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 292 + ... + 2091.

22144700 is an apocalyptic number.

2144700 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 2144700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3362632).

2144700 is an abundant number, since it is smaller than the sum of its proper divisors (4580564).

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

2144700 is a wasteful number, since it uses less digits than its factorization.

2144700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2403 (or 2393 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 2144700 is about 1464.4794296951. The cubic root of 2144700 is about 128.9601463331.

The spelling of 2144700 in words is "two million, one hundred forty-four thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 2383 4766 7149 9532 11915 14298 21447 23830 28596 35745 42894 47660 59575 71490 85788 107235 119150 142980 178725 214470 238300 357450 428940 536175 714900 1072350 2144700