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2221342420 = 2251159317027
BaseRepresentation
bin1000010001100110…
…1111111011010100
312201210211212221111
42010121233323110
514022130424140
61004231024404
7106022045653
oct20431577324
95653755844
102221342420
11a3a987490
1251bb0b104
13295294acb
1417103519a
15d00357ea
hex8466fed4

2221342420 has 48 divisors (see below), whose sum is σ = 5097774528. Its totient is φ = 806351360.

The previous prime is 2221342411. The next prime is 2221342433. The reversal of 2221342420 is 242431222.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2221342391 and 2221342400.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 121947 + ... + 138973.

It is an arithmetic number, because the mean of its divisors is an integer number (106203636).

Almost surely, 22221342420 is an apocalyptic number.

2221342420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2221342420 is an abundant number, since it is smaller than the sum of its proper divisors (2876432108).

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

2221342420 is a wasteful number, since it uses less digits than its factorization.

2221342420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17640 (or 17638 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 2221342420 is about 47131.1194435269. The cubic root of 2221342420 is about 1304.7836421948.

Adding to 2221342420 its reverse (242431222), we get a palindrome (2463773642).

The spelling of 2221342420 in words is "two billion, two hundred twenty-one million, three hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 593 1186 2372 2965 5930 6523 11860 13046 17027 26092 32615 34054 65230 68108 85135 130460 170270 187297 340540 374594 749188 936485 1872970 3745940 10097011 20194022 40388044 50485055 100970110 111067121 201940220 222134242 444268484 555335605 1110671210 2221342420