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2228358 = 2311191777
BaseRepresentation
bin1000100000000010000110
311012012201210
420200002012
51032301413
6115432250
724640446
oct10400206
94165653
102228358
111292220
128b5686
13600372
14420126
152e03c3
hex220086

2228358 has 32 divisors (see below), whose sum is σ = 5120640. Its totient is φ = 639360.

The previous prime is 2228351. The next prime is 2228383. The reversal of 2228358 is 8538222.

It is an Ulam number.

It is a d-powerful number, because it can be written as 25 + 217 + 221 + 8 + 34 + 5 + 8 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2228351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 366 + ... + 2142.

It is an arithmetic number, because the mean of its divisors is an integer number (160020).

22228358 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2228358, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2560320).

2228358 is an abundant number, since it is smaller than the sum of its proper divisors (2892282).

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

2228358 is a wasteful number, since it uses less digits than its factorization.

2228358 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812.

The product of its digits is 7680, while the sum is 30.

The square root of 2228358 is about 1492.7685688009. The cubic root of 2228358 is about 130.6155814581.

The spelling of 2228358 in words is "two million, two hundred twenty-eight thousand, three hundred fifty-eight".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 418 627 1254 1777 3554 5331 10662 19547 33763 39094 58641 67526 101289 117282 202578 371393 742786 1114179 2228358