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22009104 = 2433133919
BaseRepresentation
bin101001111110…
…1010100010000
31112102011211000
41103331110100
521113242404
62103422000
7355034325
oct123752420
945364730
1022009104
1111472847
127454900
134737a50
142cccb4c
151deb339
hex14fd510

22009104 has 80 divisors (see below), whose sum is σ = 68051200. Its totient is φ = 6770304.

The previous prime is 22009081. The next prime is 22009109. The reversal of 22009104 is 40190022.

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 (22009109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3657 + ... + 7575.

It is an arithmetic number, because the mean of its divisors is an integer number (850640).

Almost surely, 222009104 is an apocalyptic number.

22009104 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 22009104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34025600).

22009104 is an abundant number, since it is smaller than the sum of its proper divisors (46042096).

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

22009104 is a wasteful number, since it uses less digits than its factorization.

22009104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3949 (or 3937 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 22009104 is about 4691.3861491035. The cubic root of 22009104 is about 280.2425788960.

Adding to 22009104 its reverse (40190022), we get a palindrome (62199126).

The spelling of 22009104 in words is "twenty-two million, nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 3919 5616 7838 11757 15676 23514 31352 35271 47028 50947 62704 70542 94056 101894 105813 141084 152841 188112 203788 211626 282168 305682 407576 423252 458523 564336 611364 815152 846504 917046 1222728 1375569 1693008 1834092 2445456 2751138 3668184 5502276 7336368 11004552 22009104