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22113104 = 2413412593
BaseRepresentation
bin101010001011…
…0101101010000
31112121110110212
41110112231100
521130104404
62105543252
7355646456
oct124265520
945543425
1022113104
11115339a2
1274a4b28
1347731a0
142d189d6
151e1c06e
hex1516b50

22113104 has 40 divisors (see below), whose sum is σ = 47283432. Its totient is φ = 9953280.

The previous prime is 22113103. The next prime is 22113121. The reversal of 22113104 is 40131122.

It can be written as a sum of positive squares in 4 ways, for example, as 23104 + 22090000 = 152^2 + 4700^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22113101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7232 + ... + 9824.

Almost surely, 222113104 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 22113104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23641716).

22113104 is an abundant number, since it is smaller than the sum of its proper divisors (25170328).

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

22113104 is a wasteful number, since it uses less digits than its factorization.

22113104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2655 (or 2649 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 22113104 is about 4702.4572300022. The cubic root of 22113104 is about 280.6832971479.

Adding to 22113104 its reverse (40131122), we get a palindrome (62244226).

The spelling of 22113104 in words is "twenty-two million, one hundred thirteen thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 41 52 82 104 164 208 328 533 656 1066 2132 2593 4264 5186 8528 10372 20744 33709 41488 67418 106313 134836 212626 269672 425252 539344 850504 1382069 1701008 2764138 5528276 11056552 22113104