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2221300120 = 235134271731
BaseRepresentation
bin1000010001100110…
…0101100110011000
312201210202201220211
42010121211212120
514022123100440
61004230100504
7106021511434
oct20431454630
95653681824
102221300120
11a3a958726
1251baaa734
1329527b790
141710239c4
15d0027eea
hex84665998

2221300120 has 32 divisors (see below), whose sum is σ = 5382382320. Its totient is φ = 820172160.

The previous prime is 2221300057. The next prime is 2221300129. The reversal of 2221300120 is 210031222.

It is a super-2 number, since 2×22213001202 = 9868348446224028800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 2221300120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221300129) 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 7 ways as a sum of consecutive naturals, for example, 2135346 + ... + 2136385.

Almost surely, 22221300120 is an apocalyptic number.

2221300120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2221300120 is an abundant number, since it is smaller than the sum of its proper divisors (3161082200).

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

2221300120 is a wasteful number, since it uses less digits than its factorization.

2221300120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4271755 (or 4271751 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2221300120 is about 47130.6706932969. The cubic root of 2221300120 is about 1304.7753600110.

Adding to 2221300120 its reverse (210031222), we get a palindrome (2431331342).

The spelling of 2221300120 in words is "two billion, two hundred twenty-one million, three hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 4271731 8543462 17086924 21358655 34173848 42717310 55532503 85434620 111065006 170869240 222130012 277662515 444260024 555325030 1110650060 2221300120