Search a number
-
+
2312440020 = 22325111167899
BaseRepresentation
bin1000100111010101…
…0000100011010100
312222011021010100200
42021311100203110
514213441040040
61021243340500
7111206262432
oct21165204324
95864233320
102312440020
11a87348460
12546521730
132ab10c507
1417d189d52
15d802c630
hex89d508d4

2312440020 has 72 divisors (see below), whose sum is σ = 7652080800. Its totient is φ = 560591040.

The previous prime is 2312439971. The next prime is 2312440021. The reversal of 2312440020 is 200442132.

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 = 2312439975 and 2312440002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2312440021) 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, 581970 + ... + 585929.

It is an arithmetic number, because the mean of its divisors is an integer number (106278900).

Almost surely, 22312440020 is an apocalyptic number.

2312440020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2312440020 is an abundant number, since it is smaller than the sum of its proper divisors (5339640780).

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

2312440020 is a wasteful number, since it uses less digits than its factorization.

2312440020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167925 (or 1167920 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2312440020 is about 48087.8365077906. The cubic root of 2312440020 is about 1322.3816849736.

Adding to 2312440020 its reverse (200442132), we get a palindrome (2512882152).

The spelling of 2312440020 in words is "two billion, three hundred twelve million, four hundred forty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 1167899 2335798 3503697 4671596 5839495 7007394 10511091 11678990 12846889 14014788 17518485 21022182 23357980 25693778 35036970 38540667 42044364 51387556 52555455 64234445 70073940 77081334 105110910 115622001 128468890 154162668 192703335 210221820 231244002 256937780 385406670 462488004 578110005 770813340 1156220010 2312440020