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22833104 = 247239853
BaseRepresentation
bin101011100011…
…0011111010000
31120222001010112
41113012133100
521321124404
62133220452
7365035550
oct127063720
946861115
1022833104
1111985938
127791728
134965b18
143065160
15201056e
hex15c67d0

22833104 has 40 divisors (see below), whose sum is σ = 50830080. Its totient is φ = 9733248.

The previous prime is 22833077. The next prime is 22833127. The reversal of 22833104 is 40133822.

It is a self number, because there is not a number n which added to its sum of digits gives 22833104.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 26342 + ... + 27194.

It is an arithmetic number, because the mean of its divisors is an integer number (1270752).

Almost surely, 222833104 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 22833104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25415040).

22833104 is an abundant number, since it is smaller than the sum of its proper divisors (27996976).

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

22833104 is a wasteful number, since it uses less digits than its factorization.

22833104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 22833104 is about 4778.3997321279. The cubic root of 22833104 is about 283.6971578390.

Adding to 22833104 its reverse (40133822), we get a palindrome (62966926).

The spelling of 22833104 in words is "twenty-two million, eight hundred thirty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 56 112 239 478 853 956 1673 1706 1912 3346 3412 3824 5971 6692 6824 11942 13384 13648 23884 26768 47768 95536 203867 407734 815468 1427069 1630936 2854138 3261872 5708276 11416552 22833104