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4422024020 = 2251742130893
BaseRepresentation
bin1000001111001001…
…01011101101010100
3102102011211002120102
410013210223231110
533024014232040
62010443153232
7214403404211
oct40744535524
912364732512
104422024020
11196a132107
12a34b15818
135561a477b
142dd40cb08
151ad339515
hex10792bb54

4422024020 has 48 divisors (see below), whose sum is σ = 9856174608. Its totient is φ = 1660753920.

The previous prime is 4422024011. The next prime is 4422024029. The reversal of 4422024020 is 204202244.

It is an interprime number because it is at equal distance from previous prime (4422024011) and next prime (4422024029).

It can be written as a sum of positive squares in 8 ways, for example, as 498003856 + 3924020164 = 22316^2 + 62642^2 .

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 = 4422023983 and 4422024001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4422024029) 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, 127694 + ... + 158586.

It is an arithmetic number, because the mean of its divisors is an integer number (205336971).

Almost surely, 24422024020 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 4422024020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4928087304).

4422024020 is an abundant number, since it is smaller than the sum of its proper divisors (5434150588).

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

4422024020 is a wasteful number, since it uses less digits than its factorization.

4422024020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31340 (or 31338 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 4422024020 is about 66498.3008805488. The cubic root of 4422024020 is about 1641.3720448496.

Adding to 4422024020 its reverse (204202244), we get a palindrome (4626226264).

The spelling of 4422024020 in words is "four billion, four hundred twenty-two million, twenty-four thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 421 842 1684 2105 4210 7157 8420 14314 28628 30893 35785 61786 71570 123572 143140 154465 308930 525181 617860 1050362 2100724 2625905 5251810 10503620 13005953 26011906 52023812 65029765 130059530 221101201 260119060 442202402 884404804 1105506005 2211012010 4422024020