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12022434 = 23217101389
BaseRepresentation
bin101101110111…
…001010100010
3211121210200100
4231313022202
511034204214
61105403230
7204121554
oct55671242
924553610
1012022434
1168716a6
124039516
13264c288
14184d4d4
1510c7309
hexb772a2

12022434 has 48 divisors (see below), whose sum is σ = 27925560. Its totient is φ = 3724800.

The previous prime is 12022433. The next prime is 12022441. The reversal of 12022434 is 43422021.

It can be written as a sum of positive squares in 4 ways, for example, as 11923209 + 99225 = 3453^2 + 315^2 .

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

It is not an unprimeable number, because it can be changed into a prime (12022433) by changing a digit.

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, 30712 + ... + 31100.

Almost surely, 212022434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12022434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13962780).

12022434 is an abundant number, since it is smaller than the sum of its proper divisors (15903126).

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

12022434 is a wasteful number, since it uses less digits than its factorization.

12022434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 12022434 is about 3467.3381721430. The cubic root of 12022434 is about 229.0854292477.

Adding to 12022434 its reverse (43422021), we get a palindrome (55444455).

The spelling of 12022434 in words is "twelve million, twenty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 34 51 101 102 153 202 303 306 389 606 778 909 1167 1717 1818 2334 3434 3501 5151 6613 7002 10302 13226 15453 19839 30906 39289 39678 59517 78578 117867 119034 235734 353601 667913 707202 1335826 2003739 4007478 6011217 12022434