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2228292 = 22321117331
BaseRepresentation
bin1000100000000001000100
311012012122100
420200001010
51032301132
6115432100
724640323
oct10400104
94165570
102228292
111292170
128b5630
13600321
144200ba
152e037c
hex220044

2228292 has 72 divisors (see below), whose sum is σ = 6525792. Its totient is φ = 633600.

The previous prime is 2228243. The next prime is 2228299. The reversal of 2228292 is 2928222.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (2228299) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6567 + ... + 6897.

It is an arithmetic number, because the mean of its divisors is an integer number (90636).

22228292 is an apocalyptic number.

2228292 is a gapful number since it is divisible by the number (22) 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 2228292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3262896).

2228292 is an abundant number, since it is smaller than the sum of its proper divisors (4297500).

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

2228292 is a wasteful number, since it uses less digits than its factorization.

2228292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 364 counting only the distinct ones).

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

The square root of 2228292 is about 1492.7464620625. The cubic root of 2228292 is about 130.6142919116.

The spelling of 2228292 in words is "two million, two hundred twenty-eight thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 306 331 374 396 561 612 662 748 993 1122 1324 1683 1986 2244 2979 3366 3641 3972 5627 5958 6732 7282 10923 11254 11916 14564 16881 21846 22508 32769 33762 43692 50643 61897 65538 67524 101286 123794 131076 185691 202572 247588 371382 557073 742764 1114146 2228292