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2928222 = 2321123643
BaseRepresentation
bin1011001010111001011110
312111202202200
423022321132
51222200342
6142432330
733614043
oct13127136
95452680
102928222
111720020
12b926a6
137b6a9b
145631ca
153cc94c
hex2cae5e

2928222 has 48 divisors (see below), whose sum is σ = 7233408. Its totient is φ = 847440.

The previous prime is 2928209. The next prime is 2928227. The reversal of 2928222 is 2228292.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2928227) 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, 4233 + ... + 4875.

It is an arithmetic number, because the mean of its divisors is an integer number (150696).

22928222 is an apocalyptic number.

2928222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2928222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3616704).

2928222 is an abundant number, since it is smaller than the sum of its proper divisors (4305186).

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

2928222 is a wasteful number, since it uses less digits than its factorization.

2928222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 682 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 2928222 is about 1711.2048387028. The cubic root of 2928222 is about 143.0654174424.

The spelling of 2928222 in words is "two million, nine hundred twenty-eight thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 138 198 207 253 414 506 643 759 1286 1518 1929 2277 3858 4554 5787 7073 11574 14146 14789 21219 29578 42438 44367 63657 88734 127314 133101 162679 266202 325358 488037 976074 1464111 2928222