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2888200 = 235272063
BaseRepresentation
bin1011000001001000001000
312102201212101
423001020020
51214410300
6141523144
733356260
oct13011010
95381771
102888200
1116a2a47
12b734b4
137a17c3
145527a0
153c0b6a
hex2c1208

2888200 has 48 divisors (see below), whose sum is σ = 7678080. Its totient is φ = 989760.

The previous prime is 2888191. The next prime is 2888201. The reversal of 2888200 is 28882.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2888201) 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, 369 + ... + 2431.

It is an arithmetic number, because the mean of its divisors is an integer number (159960).

22888200 is an apocalyptic number.

2888200 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 2888200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3839040).

2888200 is an abundant number, since it is smaller than the sum of its proper divisors (4789880).

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

2888200 is a wasteful number, since it uses less digits than its factorization.

2888200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2086 (or 2077 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 2888200 is about 1699.4705057753. The cubic root of 2888200 is about 142.4106344370.

Multiplying 2888200 by its reverse (28882), we get a square (83416992400 = 2888202).

2888200 divided by its reverse (28882) gives a square (100 = 102).

It can be divided in two parts, 2888 and 200, that multiplied together give a square (577600 = 7602).

The spelling of 2888200 in words is "two million, eight hundred eighty-eight thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 2063 4126 8252 10315 14441 16504 20630 28882 41260 51575 57764 72205 82520 103150 115528 144410 206300 288820 361025 412600 577640 722050 1444100 2888200