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2320121220 = 2235293143013
BaseRepresentation
bin1000101001001010…
…0011110110000100
312222200201100222120
42022102203312010
514222422334340
61022120125540
7111331463544
oct21222436604
95880640876
102320121220
11a9071445a
125490068b0
132ac89b7c1
141801c9324
15d8a484d0
hex8a4a3d84

2320121220 has 96 divisors (see below), whose sum is σ = 6937297920. Its totient is φ = 578081280.

The previous prime is 2320121183. The next prime is 2320121227. The reversal of 2320121220 is 221210232.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2320121220.

It is not an unprimeable number, because it can be changed into a prime (2320121227) 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 31 ways as a sum of consecutive naturals, for example, 32434 + ... + 75446.

It is an arithmetic number, because the mean of its divisors is an integer number (72263520).

Almost surely, 22320121220 is an apocalyptic number.

2320121220 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 2320121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3468648960).

2320121220 is an abundant number, since it is smaller than the sum of its proper divisors (4617176700).

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

2320121220 is a wasteful number, since it uses less digits than its factorization.

2320121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43085 (or 43083 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2320121220 is about 48167.6366453659. The cubic root of 2320121220 is about 1323.8442457561.

Adding to 2320121220 its reverse (221210232), we get a palindrome (2541331452).

The spelling of 2320121220 in words is "two billion, three hundred twenty million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 31 58 60 62 87 93 116 124 145 155 174 186 290 310 348 372 435 465 580 620 870 899 930 1740 1798 1860 2697 3596 4495 5394 8990 10788 13485 17980 26970 43013 53940 86026 129039 172052 215065 258078 430130 516156 645195 860260 1247377 1290390 1333403 2494754 2580780 2666806 3742131 4000209 4989508 5333612 6236885 6667015 7484262 8000418 12473770 13334030 14968524 16000836 18710655 20001045 24947540 26668060 37421310 38668687 40002090 74842620 77337374 80004180 116006061 154674748 193343435 232012122 386686870 464024244 580030305 773373740 1160060610 2320121220