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42222224 = 24112113193
BaseRepresentation
bin1010000100010…
…0001010010000
32221110010000002
42201010022100
541302102344
64104545132
71021611602
oct241041220
987403002
1042222224
1121919200
12121821a8
138994185
145871172
153a9044e
hex2844290

42222224 has 60 divisors (see below), whose sum is σ = 91184268. Its totient is φ = 18923520.

The previous prime is 42222221. The next prime is 42222233.

42222224 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 4276624 + 37945600 = 2068^2 + 6160^2 .

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 = 42222196 and 42222205.

It is not an unprimeable number, because it can be changed into a prime (42222221) 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 in 11 ways as a sum of consecutive naturals, for example, 218672 + ... + 218864.

Almost surely, 242222224 is an apocalyptic number.

42222224 is a gapful number since it is divisible by the number (44) 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 42222224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45592134).

42222224 is an abundant number, since it is smaller than the sum of its proper divisors (48962044).

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

42222224 is a wasteful number, since it uses less digits than its factorization.

42222224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 319 counting only the distinct ones).

The product of its digits is 1024, while the sum is 20.

The square root of 42222224 is about 6497.8630333364. The cubic root of 42222224 is about 348.2146471613.

It can be divided in two parts, 4222 and 2224, that added together give a palindrome (6446).

The spelling of 42222224 in words is "forty-two million, two hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 113 121 176 193 226 242 386 452 484 772 904 968 1243 1544 1808 1936 2123 2486 3088 4246 4972 8492 9944 13673 16984 19888 21809 23353 27346 33968 43618 46706 54692 87236 93412 109384 174472 186824 218768 239899 348944 373648 479798 959596 1919192 2638889 3838384 5277778 10555556 21111112 42222224