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2330040220 = 225377939857
BaseRepresentation
bin1000101011100001…
…1001011110011100
320000101101022021221
42022320121132130
514232442241340
61023112503124
7111512005114
oct21270313634
96011338257
102330040220
11a96279782
125503aaaa4
132b1962531
1418164c044
15d985744a
hex8ae1979c

2330040220 has 48 divisors (see below), whose sum is σ = 5089069440. Its totient is φ = 895325184.

The previous prime is 2330040199. The next prime is 2330040227. The reversal of 2330040220 is 220400332.

2330040220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2330040194 and 2330040203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2330040227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38532 + ... + 78388.

It is an arithmetic number, because the mean of its divisors is an integer number (106022280).

Almost surely, 22330040220 is an apocalyptic number.

2330040220 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 2330040220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2544534720).

2330040220 is an abundant number, since it is smaller than the sum of its proper divisors (2759029220).

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

2330040220 is a wasteful number, since it uses less digits than its factorization.

2330040220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39982 (or 39980 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 2330040220 is about 48270.4901570307. The cubic root of 2330040220 is about 1325.7281333155.

Adding to 2330040220 its reverse (220400332), we get a palindrome (2550440552).

The spelling of 2330040220 in words is "two billion, three hundred thirty million, forty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 79 148 158 185 316 370 395 740 790 1580 2923 5846 11692 14615 29230 39857 58460 79714 159428 199285 398570 797140 1474709 2949418 3148703 5898836 6297406 7373545 12594812 14747090 15743515 29494180 31487030 62974060 116502011 233004022 466008044 582510055 1165020110 2330040220