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22441224420 = 22335434720563
BaseRepresentation
bin10100111001100110…
…011110100011100100
32010220222010022121000
4110321212132203210
5331424423140140
614150453153300
71423054155156
oct247146364344
963828108530
1022441224420
11957653906a
12442362b830
132168398524
14112c5d6ad6
158b5236a30
hex53999e8e4

22441224420 has 192 divisors, whose sum is σ = 72964362240. Its totient is φ = 5720512896.

The previous prime is 22441224419. The next prime is 22441224439. The reversal of 22441224420 is 2442214422.

22441224420 is a `hidden beast` number, since 2 + 2 + 4 + 412 + 244 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1081059 + ... + 1101621.

It is an arithmetic number, because the mean of its divisors is an integer number (380022720).

Almost surely, 222441224420 is an apocalyptic number.

22441224420 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 22441224420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36482181120).

22441224420 is an abundant number, since it is smaller than the sum of its proper divisors (50523137820).

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

22441224420 is a wasteful number, since it uses less digits than its factorization.

22441224420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20671 (or 20663 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 22441224420 its reverse (2442214422), we get a palindrome (24883438842).

It can be divided in two parts, 224412 and 24420, that added together give a 5-th power (248832 = 125).

The spelling of 22441224420 in words is "twenty-two billion, four hundred forty-one million, two hundred twenty-four thousand, four hundred twenty".