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2021303220 = 2235192237951
BaseRepresentation
bin111100001111010…
…1010001110110100
312012212102211202020
41320132222032310
513114423200340
6532323313140
7101042536206
oct17036521664
95185384666
102021303220
11947a78032
12484b1b7b0
132629c5a11
14152642776
15bc6be9d0
hex787aa3b4

2021303220 has 96 divisors (see below), whose sum is σ = 5984993280. Its totient is φ = 508291200.

The previous prime is 2021303183. The next prime is 2021303287. The reversal of 2021303220 is 223031202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2021303220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250245 + ... + 258195.

It is an arithmetic number, because the mean of its divisors is an integer number (62343680).

Almost surely, 22021303220 is an apocalyptic number.

2021303220 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 2021303220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2992496640).

2021303220 is an abundant number, since it is smaller than the sum of its proper divisors (3963690060).

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

2021303220 is a wasteful number, since it uses less digits than its factorization.

2021303220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8205 (or 8203 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2021303220 is about 44958.9059030577. The cubic root of 2021303220 is about 1264.3786561496.

Adding to 2021303220 its reverse (223031202), we get a palindrome (2244334422).

The spelling of 2021303220 in words is "two billion, twenty-one million, three hundred three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 223 228 285 380 446 570 669 892 1115 1140 1338 2230 2676 3345 4237 4460 6690 7951 8474 12711 13380 15902 16948 21185 23853 25422 31804 39755 42370 47706 50844 63555 79510 84740 95412 119265 127110 151069 159020 238530 254220 302138 453207 477060 604276 755345 906414 1510690 1773073 1812828 2266035 3021380 3546146 4532070 5319219 7092292 8865365 9064140 10638438 17730730 21276876 26596095 33688387 35461460 53192190 67376774 101065161 106384380 134753548 168441935 202130322 336883870 404260644 505325805 673767740 1010651610 2021303220