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22211244 = 22321125099
BaseRepresentation
bin101010010111…
…0101010101100
31112210110002200
41110232222230
521141224434
62112021500
7356535546
oct124565254
945713080
1022211244
11115a0700
127531890
1347a8a63
142d42696
151e3b199
hex152eaac

22211244 has 54 divisors (see below), whose sum is σ = 61725300. Its totient is φ = 6729360.

The previous prime is 22211219. The next prime is 22211249. The reversal of 22211244 is 44211222.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (22211249) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 1807 + ... + 6905.

Almost surely, 222211244 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 22211244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30862650).

22211244 is an abundant number, since it is smaller than the sum of its proper divisors (39514056).

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

22211244 is a wasteful number, since it uses less digits than its factorization.

22211244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5131 (or 5115 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 22211244 is about 4712.8806477567. The cubic root of 22211244 is about 281.0979171851.

Adding to 22211244 its reverse (44211222), we get a palindrome (66422466).

The spelling of 22211244 in words is "twenty-two million, two hundred eleven thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 5099 10198 15297 20396 30594 45891 56089 61188 91782 112178 168267 183564 224356 336534 504801 616979 673068 1009602 1233958 1850937 2019204 2467916 3701874 5552811 7403748 11105622 22211244