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22672944 = 2432783271
BaseRepresentation
bin101011001111…
…1011000110000
31120122220102200
41112133120300
521301013234
62125543200
7363500610
oct126373060
946586380
1022672944
1111886578
127714b00
13490ac58
143022a40
151eccd99
hex159f630

22672944 has 120 divisors (see below), whose sum is σ = 73661952. Its totient is φ = 6376320.

The previous prime is 22672939. The next prime is 22672999. The reversal of 22672944 is 44927622.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 22672899 and 22672908.

It is an unprimeable number.

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, 83529 + ... + 83799.

Almost surely, 222672944 is an apocalyptic number.

22672944 is a gapful number since it is divisible by the number (24) 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 22672944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36830976).

22672944 is an abundant number, since it is smaller than the sum of its proper divisors (50989008).

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

22672944 is a wasteful number, since it uses less digits than its factorization.

22672944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 366 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 22672944 is about 4761.6114919216. The cubic root of 22672944 is about 283.0322812340.

The spelling of 22672944 in words is "twenty-two million, six hundred seventy-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 83 84 112 126 144 166 168 249 252 271 332 336 498 504 542 581 664 747 813 996 1008 1084 1162 1328 1494 1626 1743 1897 1992 2168 2324 2439 2988 3252 3486 3794 3984 4336 4648 4878 5229 5691 5976 6504 6972 7588 9296 9756 10458 11382 11952 13008 13944 15176 17073 19512 20916 22493 22764 27888 30352 34146 39024 41832 44986 45528 67479 68292 83664 89972 91056 134958 136584 157451 179944 202437 269916 273168 314902 359888 404874 472353 539832 629804 809748 944706 1079664 1259608 1417059 1619496 1889412 2519216 2834118 3238992 3778824 5668236 7557648 11336472 22672944