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2221242420 = 223589415963
BaseRepresentation
bin1000010001100101…
…0111100000110100
312201210122210202210
42010121113200310
514022114224140
61004224533420
7106021151265
oct20431274064
95653583683
102221242420
11a3a919341
1251ba81270
1329525b437
1417100a96c
15d0015d80
hex84657834

2221242420 has 48 divisors (see below), whose sum is σ = 6289375680. Its totient is φ = 585674496.

The previous prime is 2221242403. The next prime is 2221242427. The reversal of 2221242420 is 242421222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221242427) 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 15 ways as a sum of consecutive naturals, for example, 202642 + ... + 213321.

It is an arithmetic number, because the mean of its divisors is an integer number (131028660).

Almost surely, 22221242420 is an apocalyptic number.

2221242420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2221242420 is an abundant number, since it is smaller than the sum of its proper divisors (4068133260).

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

2221242420 is a wasteful number, since it uses less digits than its factorization.

2221242420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416064 (or 416062 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 2221242420 is about 47130.0585613895. The cubic root of 2221242420 is about 1304.7640623946.

Adding to 2221242420 its reverse (242421222), we get a palindrome (2463663642).

The spelling of 2221242420 in words is "two billion, two hundred twenty-one million, two hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 89 178 267 356 445 534 890 1068 1335 1780 2670 5340 415963 831926 1247889 1663852 2079815 2495778 4159630 4991556 6239445 8319260 12478890 24957780 37020707 74041414 111062121 148082828 185103535 222124242 370207070 444248484 555310605 740414140 1110621210 2221242420