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2242422020 = 2254127110091
BaseRepresentation
bin1000010110101000…
…1010010100000100
312210021111211201102
42011222022110010
514043030001040
61010302515232
7106366162346
oct20552122404
95707454642
102242422020
11a50874943
12526b95b18
13299765747
14173b61296
15d1ceb515
hex85a8a504

2242422020 has 48 divisors (see below), whose sum is σ = 4842222336. Its totient is φ = 871776000.

The previous prime is 2242422019. The next prime is 2242422067. The reversal of 2242422020 is 202242422.

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 = 2242421983 and 2242422001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217175 + ... + 227265.

It is an arithmetic number, because the mean of its divisors is an integer number (100879632).

Almost surely, 22242422020 is an apocalyptic number.

2242422020 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 2242422020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2421111168).

2242422020 is an abundant number, since it is smaller than the sum of its proper divisors (2599800316).

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

2242422020 is a wasteful number, since it uses less digits than its factorization.

2242422020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10412 (or 10410 counting only the distinct ones).

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

The square root of 2242422020 is about 47354.2186082719. The cubic root of 2242422020 is about 1308.8979368303.

Adding to 2242422020 its reverse (202242422), we get a palindrome (2444664442).

It can be divided in two parts, 22424 and 22020, that added together give a palindrome (44444).

The spelling of 2242422020 in words is "two billion, two hundred forty-two million, four hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 271 410 542 820 1084 1355 2710 5420 10091 11111 20182 22222 40364 44444 50455 55555 100910 111110 201820 222220 413731 827462 1654924 2068655 2734661 4137310 5469322 8274620 10938644 13673305 27346610 54693220 112121101 224242202 448484404 560605505 1121211010 2242422020