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2020224420 = 2232537303337
BaseRepresentation
bin111100001101010…
…0010110110100100
312012210102000220200
41320122202312210
513114134140140
6532244230500
7101030424054
oct17032426644
95183360820
102020224420
11947400565
1248469b430
13262708986
14152441564
15bc55a030
hex786a2da4

2020224420 has 72 divisors (see below), whose sum is σ = 6293656824. Its totient is φ = 524164608.

The previous prime is 2020224377. The next prime is 2020224443. The reversal of 2020224420 is 244220202.

2020224420 is a `hidden beast` number, since 2 + 0 + 20 + 224 + 420 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1164310884 + 855913536 = 34122^2 + 29256^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2020224393 and 2020224402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145009 + ... + 158328.

Almost surely, 22020224420 is an apocalyptic number.

2020224420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2020224420 is an abundant number, since it is smaller than the sum of its proper divisors (4273432404).

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

2020224420 is a wasteful number, since it uses less digits than its factorization.

2020224420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303389 (or 303384 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 2020224420 is about 44946.9066788806. The cubic root of 2020224420 is about 1264.1536768034.

Adding to 2020224420 its reverse (244220202), we get a palindrome (2264444622).

The spelling of 2020224420 in words is "two billion, twenty million, two hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 303337 606674 910011 1213348 1516685 1820022 2730033 3033370 3640044 4550055 5460066 6066740 9100110 10920132 11223469 13650165 18200220 22446938 27300330 33670407 44893876 54600660 56117345 67340814 101011221 112234690 134681628 168352035 202022442 224469380 336704070 404044884 505056105 673408140 1010112210 2020224420