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2221003420 = 2251710363421
BaseRepresentation
bin1000010001100001…
…1101001010011100
312201210012122220221
42010120131022130
514022034102140
61004215451124
7106016134426
oct20430351234
95653178827
102221003420
11a3a775819
1251b986aa4
132951a670c
14170d87816
15ceeba14a
hex8461d29c

2221003420 has 48 divisors (see below), whose sum is σ = 4986491328. Its totient is φ = 828011520.

The previous prime is 2221003357. The next prime is 2221003429. The reversal of 2221003420 is 243001222.

It is a junction number, because it is equal to n+sod(n) for n = 2221003394 and 2221003403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221003429) 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, 3310 + ... + 66730.

It is an arithmetic number, because the mean of its divisors is an integer number (103885236).

Almost surely, 22221003420 is an apocalyptic number.

2221003420 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 2221003420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2493245664).

2221003420 is an abundant number, since it is smaller than the sum of its proper divisors (2765487908).

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

2221003420 is a wasteful number, since it uses less digits than its factorization.

2221003420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63550 (or 63548 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2221003420 is about 47127.5229563362. The cubic root of 2221003420 is about 1304.7172642914.

Adding to 2221003420 its reverse (243001222), we get a palindrome (2464004642).

The spelling of 2221003420 in words is "two billion, two hundred twenty-one million, three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 103 170 206 340 412 515 1030 1751 2060 3502 7004 8755 17510 35020 63421 126842 253684 317105 634210 1078157 1268420 2156314 4312628 5390785 6532363 10781570 13064726 21563140 26129452 32661815 65323630 111050171 130647260 222100342 444200684 555250855 1110501710 2221003420