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2220034420 = 225172384089
BaseRepresentation
bin1000010001010011…
…0000100101110100
312201201101102201001
42010110300211310
514021312100140
61004143013044
7106004660362
oct20424604564
95651342631
102220034420
11a3a17379a
1251b59a184
13294c27646
14170bb4632
15ced77e9a
hex84530974

2220034420 has 36 divisors (see below), whose sum is σ = 4952456460. Its totient is φ = 835775488.

The previous prime is 2220034393. The next prime is 2220034429. The reversal of 2220034420 is 244300222.

It can be written as a sum of positive squares in 6 ways, for example, as 116964 + 2219917456 = 342^2 + 47116^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220034429) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 186265 + ... + 197824.

It is an arithmetic number, because the mean of its divisors is an integer number (137568235).

Almost surely, 22220034420 is an apocalyptic number.

2220034420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220034420 is an abundant number, since it is smaller than the sum of its proper divisors (2732422040).

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

2220034420 is a wasteful number, since it uses less digits than its factorization.

2220034420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384132 (or 384113 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 2220034420 is about 47117.2412180510. The cubic root of 2220034420 is about 1304.5274919682.

Adding to 2220034420 its reverse (244300222), we get a palindrome (2464334642).

The spelling of 2220034420 in words is "two billion, two hundred twenty million, thirty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 340 578 1156 1445 2890 5780 384089 768178 1536356 1920445 3840890 6529513 7681780 13059026 26118052 32647565 65295130 111001721 130590260 222003442 444006884 555008605 1110017210 2220034420