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2022440420 = 22571113101021
BaseRepresentation
bin111100010001011…
…1111110111100100
312012221120121200202
41320202333313210
513120221043140
6532403530032
7101055313520
oct17042776744
95187517622
102022440420
11948684470
12485389918
13263003510
1415285ad80
15bc846915
hex788bfde4

2022440420 has 96 divisors (see below), whose sum is σ = 5702489856. Its totient is φ = 581875200.

The previous prime is 2022440417. The next prime is 2022440437. The reversal of 2022440420 is 240442202.

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 = 2022440392 and 2022440401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30491 + ... + 70530.

It is an arithmetic number, because the mean of its divisors is an integer number (59400936).

Almost surely, 22022440420 is an apocalyptic number.

2022440420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2022440420 is an abundant number, since it is smaller than the sum of its proper divisors (3680049436).

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

2022440420 is a wasteful number, since it uses less digits than its factorization.

2022440420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101061 (or 101059 counting only the distinct ones).

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

The square root of 2022440420 is about 44971.5512296385. The cubic root of 2022440420 is about 1264.6157279274.

Adding to 2022440420 its reverse (240442202), we get a palindrome (2262882622).

The spelling of 2022440420 in words is "two billion, twenty-two million, four hundred forty thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2860 4004 5005 10010 20020 101021 202042 404084 505105 707147 1010210 1111231 1313273 1414294 2020420 2222462 2626546 2828588 3535735 4444924 5253092 5556155 6566365 7071470 7778617 9192911 11112310 13132730 14142940 14446003 15557234 18385822 22224620 26265460 28892006 31114468 36771644 38893085 45964555 57784012 72230015 77786170 91929110 101122021 144460030 155572340 183858220 202244042 288920060 404488084 505610105 1011220210 2022440420