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4222112 = 25131941
BaseRepresentation
bin10000000110110010100000
321221111122112
4100012302200
52040101422
6230254452
750613236
oct20066240
97844575
104222112
112424154
1214b7428
13b4a9bb
147bc956
15585ee2
hex406ca0

4222112 has 12 divisors (see below), whose sum is σ = 8312346. Its totient is φ = 2111040.

The previous prime is 4222093. The next prime is 4222117. The reversal of 4222112 is 2112224.

It can be written as a sum of positive squares in only one way, i.e., 3857296 + 364816 = 1964^2 + 604^2 .

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

It is not an unprimeable number, because it can be changed into a prime (4222117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65939 + ... + 66002.

Almost surely, 24222112 is an apocalyptic number.

It is an amenable number.

4222112 is a deficient number, since it is larger than the sum of its proper divisors (4090234).

4222112 is a wasteful number, since it uses less digits than its factorization.

4222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131951 (or 131943 counting only the distinct ones).

The product of its digits is 64, while the sum is 14.

The square root of 4222112 is about 2054.7778468730. Note that the first 3 decimals coincide. The cubic root of 4222112 is about 161.6255130780.

Adding to 4222112 its reverse (2112224), we get a palindrome (6334336).

It can be divided in two parts, 4222 and 112, that added together give a palindrome (4334).

The spelling of 4222112 in words is "four million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 131941 263882 527764 1055528 2111056 4222112