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2228120 = 235531051
BaseRepresentation
bin1000011111111110011000
311012012101222
420133332120
51032244440
6115431212
724636656
oct10377630
94165358
102228120
111292024
128b5508
1360021b
1441ddd6
152e02b5
hex21ff98

2228120 has 32 divisors (see below), whose sum is σ = 5112720. Its totient is φ = 873600.

The previous prime is 2228119. The next prime is 2228123. The reversal of 2228120 is 218222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2228123) 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 7 ways as a sum of consecutive naturals, for example, 1595 + ... + 2645.

22228120 is an apocalyptic number.

2228120 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 2228120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2556360).

2228120 is an abundant number, since it is smaller than the sum of its proper divisors (2884600).

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

2228120 is a wasteful number, since it uses less digits than its factorization.

2228120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 2228120 is about 1492.6888490238. The cubic root of 2228120 is about 130.6109311557.

The spelling of 2228120 in words is "two million, two hundred twenty-eight thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 1051 1060 2102 2120 4204 5255 8408 10510 21020 42040 55703 111406 222812 278515 445624 557030 1114060 2228120