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2222131140 = 2232528143933
BaseRepresentation
bin1000010001110011…
…0000011111000100
312201212022221212100
42010130300133010
514022331144030
61004255552100
7106031542305
oct20434603704
95655287770
102222131140
11a40376019
1252022b630
132954acac8
1417119c7ac
15d013e360
hex847307c4

2222131140 has 72 divisors (see below), whose sum is σ = 6764605848. Its totient is φ = 590446080.

The previous prime is 2222131103. The next prime is 2222131151. The reversal of 2222131140 is 411312222.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 30206016 + 2191925124 = 5496^2 + 46818^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 28614 + ... + 72546.

It is an arithmetic number, because the mean of its divisors is an integer number (93952859).

Almost surely, 22222131140 is an apocalyptic number.

2222131140 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 2222131140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3382302924).

2222131140 is an abundant number, since it is smaller than the sum of its proper divisors (4542474708).

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

2222131140 is a wasteful number, since it uses less digits than its factorization.

2222131140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44229 (or 44224 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2222131140 is about 47139.4859963492. The cubic root of 2222131140 is about 1304.9380514038.

Adding to 2222131140 its reverse (411312222), we get a palindrome (2633443362).

It can be divided in two parts, 22221 and 31140, that added together give a square (53361 = 2312).

The spelling of 2222131140 in words is "two billion, two hundred twenty-two million, one hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 281 562 843 1124 1405 1686 2529 2810 3372 4215 5058 5620 8430 10116 12645 16860 25290 43933 50580 87866 131799 175732 219665 263598 395397 439330 527196 658995 790794 878660 1317990 1581588 1976985 2635980 3953970 7907940 12345173 24690346 37035519 49380692 61725865 74071038 111106557 123451730 148142076 185177595 222213114 246903460 370355190 444426228 555532785 740710380 1111065570 2222131140