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2230340340420 = 2232537334885937
BaseRepresentation
bin100000011101001010101…
…001001100101011000100
321220012220020211112010100
4200131022221030223010
5243020214111343140
64424334301524100
7320064625044033
oct40351251145304
97805806745110
102230340340420
1178a977a82895
12300308573630
131324215cbbaa
1479d4029071a
153d039da7530
hex2074aa4cac4

2230340340420 has 72 divisors (see below), whose sum is σ = 6948213441624. Its totient is φ = 578682897408.

The previous prime is 2230340340337. The next prime is 2230340340469. The reversal of 2230340340420 is 240430430322.

2230340340420 is a `hidden beast` number, since 2 + 230 + 3 + 4 + 0 + 3 + 4 + 0 + 420 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 557498168964 + 1672842171456 = 746658^2 + 1293384^2 .

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 23 ways as a sum of consecutive naturals, for example, 167436309 + ... + 167449628.

It is an arithmetic number, because the mean of its divisors is an integer number (96502964467).

Almost surely, 22230340340420 is an apocalyptic number.

2230340340420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2230340340420 is an abundant number, since it is smaller than the sum of its proper divisors (4717873101204).

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

2230340340420 is a wasteful number, since it uses less digits than its factorization.

2230340340420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334885989 (or 334885984 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 2230340340420 its reverse (240430430322), we get a palindrome (2470770770742).

The spelling of 2230340340420 in words is "two trillion, two hundred thirty billion, three hundred forty million, three hundred forty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 334885937 669771874 1004657811 1339543748 1674429685 2009315622 3013973433 3348859370 4018631244 5023289055 6027946866 6697718740 10046578110 12055893732 12390779669 15069867165 20093156220 24781559338 30139734330 37172339007 49563118676 60279468660 61953898345 74344678014 111517017021 123907796690 148689356028 185861695035 223034034042 247815593380 371723390070 446068068084 557585085105 743446780140 1115170170210 2230340340420