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2222434144 = 257312711181
BaseRepresentation
bin1000010001110111…
…1010011101100000
312201212220100111201
42010131322131200
514022420343034
61004310250544
7106034243560
oct20435723540
95655810451
102222434144
11a40562737
12520356a54
132955879b8
1417123ada0
15d019e014
hex8477a760

2222434144 has 96 divisors (see below), whose sum is σ = 5185216512. Its totient is φ = 917568000.

The previous prime is 2222434141. The next prime is 2222434147. The reversal of 2222434144 is 4414342222.

It is an interprime number because it is at equal distance from previous prime (2222434141) and next prime (2222434147).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2222434141) 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, 1881234 + ... + 1882414.

It is an arithmetic number, because the mean of its divisors is an integer number (54012672).

Almost surely, 22222434144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2222434144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2592608256).

2222434144 is an abundant number, since it is smaller than the sum of its proper divisors (2962782368).

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

2222434144 is a wasteful number, since it uses less digits than its factorization.

2222434144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500 (or 1492 counting only the distinct ones).

The product of its digits is 12288, while the sum is 28.

The square root of 2222434144 is about 47142.6997954084. The cubic root of 2222434144 is about 1304.9973613566.

Adding to 2222434144 its reverse (4414342222), we get a palindrome (6636776366).

The spelling of 2222434144 in words is "two billion, two hundred twenty-two million, four hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 271 434 496 542 868 992 1084 1181 1736 1897 2168 2362 3472 3794 4336 4724 6944 7588 8267 8401 8672 9448 15176 16534 16802 18896 30352 33068 33604 36611 37792 58807 60704 66136 67208 73222 117614 132272 134416 146444 235228 256277 264544 268832 292888 320051 470456 512554 585776 640102 940912 1025108 1171552 1280204 1881824 2050216 2240357 2560408 4100432 4480714 5120816 8200864 8961428 9921581 10241632 17922856 19843162 35845712 39686324 69451067 71691424 79372648 138902134 158745296 277804268 317490592 555608536 1111217072 2222434144