Search a number
-
+
22055022 = 232112329167
BaseRepresentation
bin101010000100…
…0100001101110
31112111111210200
41110020201232
521121230042
62104414330
7355315233
oct124104156
945444720
1022055022
11114a42a0
1274773a6
134752912
142d0178a
151e09c4c
hex150886e

22055022 has 96 divisors (see below), whose sum is σ = 56609280. Its totient is φ = 6135360.

The previous prime is 22055021. The next prime is 22055023.

22055022 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (22055021) and next prime (22055023).

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

It is a junction number, because it is equal to n+sod(n) for n = 22054986 and 22055004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22055021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131983 + ... + 132149.

It is an arithmetic number, because the mean of its divisors is an integer number (589680).

Almost surely, 222055022 is an apocalyptic number.

22055022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22055022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28304640).

22055022 is an abundant number, since it is smaller than the sum of its proper divisors (34554258).

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

22055022 is a wasteful number, since it uses less digits than its factorization.

22055022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 22055022 is about 4696.2774619905. The cubic root of 22055022 is about 280.4373352728.

It can be divided in two parts, 2205 and 5022, that added together give a palindrome (7227).

The spelling of 22055022 in words is "twenty-two million, fifty-five thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 23 29 33 46 58 66 69 87 99 138 167 174 198 207 253 261 319 334 414 501 506 522 638 667 759 957 1002 1334 1503 1518 1837 1914 2001 2277 2871 3006 3674 3841 4002 4554 4843 5511 5742 6003 7337 7682 9686 11022 11523 12006 14529 14674 16533 22011 23046 29058 33066 34569 42251 43587 44022 53273 66033 69138 84502 87174 106546 111389 126753 132066 159819 222778 253506 319638 334167 380259 479457 668334 760518 958914 1002501 1225279 2005002 2450558 3675837 7351674 11027511 22055022