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2226888 = 2332157197
BaseRepresentation
bin1000011111101011001000
311012010201100
420133223020
51032230023
6115421400
724633246
oct10375310
94163640
102226888
111291104
128b4860
135cc7b1
1441d796
152dec43
hex21fac8

2226888 has 48 divisors (see below), whose sum is σ = 6100380. Its totient is φ = 733824.

The previous prime is 2226859. The next prime is 2226893. The reversal of 2226888 is 8886222.

2226888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2125764 + 101124 = 1458^2 + 318^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 10.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 11206 + ... + 11402.

22226888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2226888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3050190).

2226888 is an abundant number, since it is smaller than the sum of its proper divisors (3873492).

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

2226888 is a wasteful number, since it uses less digits than its factorization.

2226888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 359 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 2226888 is about 1492.2761138610. The cubic root of 2226888 is about 130.5868537071.

The spelling of 2226888 in words is "two million, two hundred twenty-six thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 157 197 314 394 471 591 628 788 942 1182 1256 1413 1576 1773 1884 2364 2826 3546 3768 4728 5652 7092 11304 14184 30929 61858 92787 123716 185574 247432 278361 371148 556722 742296 1113444 2226888