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2228130 = 2325191303
BaseRepresentation
bin1000011111111110100010
311012012102100
420133332202
51032300010
6115431230
724640002
oct10377642
94165370
102228130
111292033
128b5516
13600228
14420002
152e02c0
hex21ffa2

2228130 has 48 divisors (see below), whose sum is σ = 6102720. Its totient is φ = 562464.

The previous prime is 2228123. The next prime is 2228137. The reversal of 2228130 is 318222.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2228123) and next prime (2228137).

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 (2228137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1059 + ... + 2361.

It is an arithmetic number, because the mean of its divisors is an integer number (127140).

22228130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2228130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3051360).

2228130 is an abundant number, since it is smaller than the sum of its proper divisors (3874590).

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

2228130 is a wasteful number, since it uses less digits than its factorization.

2228130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2228130 is about 1492.6921986800. The cubic root of 2228130 is about 130.6111265533.

The spelling of 2228130 in words is "two million, two hundred twenty-eight thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 855 1303 1710 2606 3909 6515 7818 11727 13030 19545 23454 24757 39090 49514 58635 74271 117270 123785 148542 222813 247570 371355 445626 742710 1114065 2228130