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2330330220 = 2232524153719
BaseRepresentation
bin1000101011100110…
…0000010001101100
320000101221001002200
42022321200101230
514233031031340
61023123021500
7111514323441
oct21271402154
96011831080
102330330220
11a96457649
1255050a890
132b1a3452a
141816c59c8
15d98b3330
hex8ae6046c

2330330220 has 72 divisors (see below), whose sum is σ = 7098131040. Its totient is φ = 618831360.

The previous prime is 2330330159. The next prime is 2330330227. The reversal of 2330330220 is 220330332.

2330330220 is a `hidden beast` number, since 2 + 330 + 330 + 2 + 2 + 0 = 666.

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 = 2330330193 and 2330330202.

It is not an unprimeable number, because it can be changed into a prime (2330330227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16521 + ... + 70239.

Almost surely, 22330330220 is an apocalyptic number.

2330330220 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 2330330220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3549065520).

2330330220 is an abundant number, since it is smaller than the sum of its proper divisors (4767800820).

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

2330330220 is a wasteful number, since it uses less digits than its factorization.

2330330220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53975 (or 53970 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 2330330220 is about 48273.4939692581. The cubic root of 2330330220 is about 1325.7831316808.

Adding to 2330330220 its reverse (220330332), we get a palindrome (2550660552).

The spelling of 2330330220 in words is "two billion, three hundred thirty million, three hundred thirty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 241 482 723 964 1205 1446 2169 2410 2892 3615 4338 4820 7230 8676 10845 14460 21690 43380 53719 107438 161157 214876 268595 322314 483471 537190 644628 805785 966942 1074380 1611570 1933884 2417355 3223140 4834710 9669420 12946279 25892558 38838837 51785116 64731395 77677674 116516511 129462790 155355348 194194185 233033022 258925580 388388370 466066044 582582555 776776740 1165165110 2330330220