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22226112 = 263247821
BaseRepresentation
bin101010011001…
…0010011000000
31112211012111100
41110302103000
521142213422
62112214400
7356630106
oct124622300
945735440
1022226112
1111600897
12753a400
1347b275c
142d47c76
151e407ac
hex15324c0

22226112 has 84 divisors (see below), whose sum is σ = 65141856. Its totient is φ = 7242240.

The previous prime is 22226077. The next prime is 22226117. The reversal of 22226112 is 21162222.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (22226117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26662 + ... + 27482.

Almost surely, 222226112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22226112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32570928).

22226112 is an abundant number, since it is smaller than the sum of its proper divisors (42915744).

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

22226112 is a wasteful number, since it uses less digits than its factorization.

22226112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 873 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 22226112 is about 4714.4577630943. The cubic root of 22226112 is about 281.1606246384.

Adding to 22226112 its reverse (21162222), we get a palindrome (43388334).

The spelling of 22226112 in words is "twenty-two million, two hundred twenty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 64 72 94 96 141 144 188 192 282 288 376 423 564 576 752 821 846 1128 1504 1642 1692 2256 2463 3008 3284 3384 4512 4926 6568 6768 7389 9024 9852 13136 13536 14778 19704 26272 27072 29556 38587 39408 52544 59112 77174 78816 115761 118224 154348 157632 231522 236448 308696 347283 463044 472896 617392 694566 926088 1234784 1389132 1852176 2469568 2778264 3704352 5556528 7408704 11113056 22226112