Search a number
-
+
2301043220 = 225761733691
BaseRepresentation
bin1000100100100111…
…0010001000010100
312221100211002212222
42021021302020110
514203031340340
61020155201512
7111010354550
oct21111621024
95840732788
102301043220
11a80973913
12542746298
132a894bc48
1417b860860
15d702a8b5
hex89272214

2301043220 has 96 divisors (see below), whose sum is σ = 5691469056. Its totient is φ = 765158400.

The previous prime is 2301043201. The next prime is 2301043229. The reversal of 2301043220 is 223401032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2301043229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 621575 + ... + 625265.

It is an arithmetic number, because the mean of its divisors is an integer number (59286136).

Almost surely, 22301043220 is an apocalyptic number.

2301043220 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 2301043220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2845734528).

2301043220 is an abundant number, since it is smaller than the sum of its proper divisors (3390425836).

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

2301043220 is a wasteful number, since it uses less digits than its factorization.

2301043220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3841 (or 3839 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2301043220 is about 47969.1903204546. The cubic root of 2301043220 is about 1320.2056650770.

Adding to 2301043220 its reverse (223401032), we get a palindrome (2524444252).

The spelling of 2301043220 in words is "two billion, three hundred one million, forty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 61 70 73 122 140 146 244 292 305 365 427 511 610 730 854 1022 1220 1460 1708 2044 2135 2555 3691 4270 4453 5110 7382 8540 8906 10220 14764 17812 18455 22265 25837 31171 36910 44530 51674 62342 73820 89060 103348 124684 129185 155855 225151 258370 269443 311710 450302 516740 538886 623420 900604 1077772 1125755 1347215 1576057 1886101 2251510 2694430 3152114 3772202 4503020 5388860 6304228 7544404 7880285 9430505 15760570 16436023 18861010 31521140 32872046 37722020 65744092 82180115 115052161 164360230 230104322 328720460 460208644 575260805 1150521610 2301043220