Search a number
-
+
2221111020 = 2235191948343
BaseRepresentation
bin1000010001100011…
…0111011011101100
312201210102010112010
42010120313123230
514022101023040
61004222041220
7106020063222
oct20430673354
95653363463
102221111020
11a3a839647
1251ba19210
1329521369b
14170db4b12
15ceedbe80
hex846376ec

2221111020 has 48 divisors (see below), whose sum is σ = 6546435840. Its totient is φ = 561122496.

The previous prime is 2221111019. The next prime is 2221111021. The reversal of 2221111020 is 201111222.

2221111020 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2221111019) and next prime (2221111021).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2221110987 and 2221111005.

It is not an unprimeable number, because it can be changed into a prime (2221111021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 973032 + ... + 975311.

It is an arithmetic number, because the mean of its divisors is an integer number (136384080).

Almost surely, 22221111020 is an apocalyptic number.

2221111020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2221111020 is an abundant number, since it is smaller than the sum of its proper divisors (4325324820).

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

2221111020 is a wasteful number, since it uses less digits than its factorization.

2221111020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1948374 (or 1948372 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2221111020 is about 47128.6645259549. The cubic root of 2221111020 is about 1304.7383336437.

Adding to 2221111020 its reverse (201111222), we get a palindrome (2422222242).

The spelling of 2221111020 in words is "two billion, two hundred twenty-one million, one hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 1948343 3896686 5845029 7793372 9741715 11690058 19483430 23380116 29225145 37018517 38966860 58450290 74037034 111055551 116900580 148074068 185092585 222111102 370185170 444222204 555277755 740370340 1110555510 2221111020