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2242968 = 233713279
BaseRepresentation
bin1000100011100110011000
311012221202220
420203212120
51033233333
6120024040
725031160
oct10434630
94187686
102242968
1112a21a2
12902020
13606c00
144255a0
152e48b3
hex223998

2242968 has 96 divisors (see below), whose sum is σ = 7027200. Its totient is φ = 584064.

The previous prime is 2242957. The next prime is 2242973. The reversal of 2242968 is 8692422.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28353 + ... + 28431.

It is an arithmetic number, because the mean of its divisors is an integer number (73200).

22242968 is an apocalyptic number.

2242968 is a gapful number since it is divisible by the number (28) 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 2242968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3513600).

2242968 is an abundant number, since it is smaller than the sum of its proper divisors (4784232).

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

2242968 is a wasteful number, since it uses less digits than its factorization.

2242968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 104 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 2242968 is about 1497.6541656871. The cubic root of 2242968 is about 130.9004157411.

The spelling of 2242968 in words is "two million, two hundred forty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 79 84 91 104 156 158 168 169 182 237 273 312 316 338 364 474 507 546 553 632 676 728 948 1014 1027 1092 1106 1183 1352 1659 1896 2028 2054 2184 2212 2366 3081 3318 3549 4056 4108 4424 4732 6162 6636 7098 7189 8216 9464 12324 13272 13351 14196 14378 21567 24648 26702 28392 28756 40053 43134 53404 57512 80106 86268 93457 106808 160212 172536 186914 280371 320424 373828 560742 747656 1121484 2242968