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2322242120 = 2351110351241
BaseRepresentation
bin1000101001101010…
…1001101001001000
312222211201010022102
42022122221221020
514223443221440
61022233412532
7111355506122
oct21232515110
95884633272
102322242120
11a91932970
1254986a148
132b0161c83
141805bc212
15d8d16b15
hex8a6a9a48

2322242120 has 64 divisors (see below), whose sum is σ = 5755501440. Its totient is φ = 836236800.

The previous prime is 2322242101. The next prime is 2322242141. The reversal of 2322242120 is 212422232.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2322242092 and 2322242101.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 19700 + ... + 70940.

It is an arithmetic number, because the mean of its divisors is an integer number (89929710).

Almost surely, 22322242120 is an apocalyptic number.

2322242120 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 2322242120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2877750720).

2322242120 is an abundant number, since it is smaller than the sum of its proper divisors (3433259320).

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

2322242120 is a wasteful number, since it uses less digits than its factorization.

2322242120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51366 (or 51362 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2322242120 is about 48189.6474359379. The cubic root of 2322242120 is about 1324.2475129246.

Adding to 2322242120 its reverse (212422232), we get a palindrome (2534664352).

It can be divided in two parts, 2322 and 242120, that added together give a palindrome (244442).

The spelling of 2322242120 in words is "two billion, three hundred twenty-two million, two hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 103 110 206 220 412 440 515 824 1030 1133 2060 2266 4120 4532 5665 9064 11330 22660 45320 51241 102482 204964 256205 409928 512410 563651 1024820 1127302 2049640 2254604 2818255 4509208 5277823 5636510 10555646 11273020 21111292 22546040 26389115 42222584 52778230 58056053 105556460 116112106 211112920 232224212 290280265 464448424 580560530 1161121060 2322242120