Search a number
-
+
26224220 = 22511199599
BaseRepresentation
bin110010000001…
…0011001011100
31211100022212102
41210002121130
523203133340
62334024232
7435621311
oct144023134
954308772
1026224220
1113891710
128948078
1355824b9
1436a8d08
152480215
hex190265c

26224220 has 48 divisors (see below), whose sum is σ = 60480000. Its totient is φ = 9472320.

The previous prime is 26224213. The next prime is 26224223. The reversal of 26224220 is 2242262.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 26224192 and 26224201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26224223) 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, 43481 + ... + 44079.

It is an arithmetic number, because the mean of its divisors is an integer number (1260000).

Almost surely, 226224220 is an apocalyptic number.

26224220 is a gapful number since it is divisible by the number (20) 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 26224220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30240000).

26224220 is an abundant number, since it is smaller than the sum of its proper divisors (34255780).

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

26224220 is a wasteful number, since it uses less digits than its factorization.

26224220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 26224220 is about 5120.9588945821. The cubic root of 26224220 is about 297.0987741468.

Adding to 26224220 its reverse (2242262), we get a palindrome (28466482).

It can be divided in two parts, 262242 and 20, that added together give a palindrome (262262).

The spelling of 26224220 in words is "twenty-six million, two hundred twenty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 199 220 398 599 796 995 1198 1990 2189 2396 2995 3980 4378 5990 6589 8756 10945 11980 13178 21890 26356 32945 43780 65890 119201 131780 238402 476804 596005 1192010 1311211 2384020 2622422 5244844 6556055 13112110 26224220