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2222304144 = 243199725121
BaseRepresentation
bin1000010001110101…
…1010101110010000
312201212122202011220
42010131122232100
514022402213034
61004303405040
7106033162554
oct20435325620
95655582156
102222304144
11a40483aa5
125202b3780
13295540788
14171205864
15d0175749
hex8475ab90

2222304144 has 80 divisors (see below), whose sum is σ = 6105650880. Its totient is φ = 694517760.

The previous prime is 2222304143. The next prime is 2222304169. The reversal of 2222304144 is 4414032222.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2222304143) 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, 75904 + ... + 101024.

It is an arithmetic number, because the mean of its divisors is an integer number (76320636).

Almost surely, 22222304144 is an apocalyptic number.

2222304144 is a gapful number since it is divisible by the number (24) 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 2222304144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3052825440).

2222304144 is an abundant number, since it is smaller than the sum of its proper divisors (3883346736).

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

2222304144 is a wasteful number, since it uses less digits than its factorization.

2222304144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25248 (or 25242 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2222304144 is about 47141.3209827642. The cubic root of 2222304144 is about 1304.9719158384.

Adding to 2222304144 its reverse (4414032222), we get a palindrome (6636336366).

The spelling of 2222304144 in words is "two billion, two hundred twenty-two million, three hundred four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 97 114 152 194 228 291 304 388 456 582 776 912 1164 1552 1843 2328 3686 4656 5529 7372 11058 14744 22116 25121 29488 44232 50242 75363 88464 100484 150726 200968 301452 401936 477299 602904 954598 1205808 1431897 1909196 2436737 2863794 3818392 4873474 5727588 7310211 7636784 9746948 11455176 14620422 19493896 22910352 29240844 38987792 46298003 58481688 92596006 116963376 138894009 185192012 277788018 370384024 555576036 740768048 1111152072 2222304144