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2225800 = 235231359
BaseRepresentation
bin1000011111011010001000
311012002020001
420133122020
51032211200
6115412344
724630133
oct10373210
94162201
102225800
111290305
128b40b4
135cc155
1441d21a
152de76a
hex21f688

2225800 has 48 divisors (see below), whose sum is σ = 5356800. Its totient is φ = 859200.

The previous prime is 2225791. The next prime is 2225819. The reversal of 2225800 is 85222.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6021 + ... + 6379.

It is an arithmetic number, because the mean of its divisors is an integer number (111600).

22225800 is an apocalyptic number.

2225800 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 2225800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2678400).

2225800 is an abundant number, since it is smaller than the sum of its proper divisors (3131000).

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

2225800 is a wasteful number, since it uses less digits than its factorization.

2225800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 2225800 is about 1491.9115255269. The cubic root of 2225800 is about 130.5655831206.

It can be divided in two parts, 2225 and 800, that added together give a square (3025 = 552).

The spelling of 2225800 in words is "two million, two hundred twenty-five thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 248 310 359 620 718 775 1240 1436 1550 1795 2872 3100 3590 6200 7180 8975 11129 14360 17950 22258 35900 44516 55645 71800 89032 111290 222580 278225 445160 556450 1112900 2225800