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2444223144 = 2331117544613
BaseRepresentation
bin1001000110101111…
…1110001010101000
320022100020101211010
42101223332022220
520001210120034
61042312103520
7114366360666
oct22153761250
96270211733
102444223144
111044778030
12582694ba0
132cc5007ac
14192891c36
15e48ae3e9
hex91afe2a8

2444223144 has 64 divisors (see below), whose sum is σ = 7058197440. Its totient is φ = 697103360.

The previous prime is 2444223113. The next prime is 2444223193. The reversal of 2444223144 is 4413224442.

2444223144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267819 + ... + 276794.

It is an arithmetic number, because the mean of its divisors is an integer number (110284335).

Almost surely, 22444223144 is an apocalyptic number.

2444223144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2444223144 is an abundant number, since it is smaller than the sum of its proper divisors (4613974296).

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

2444223144 is a wasteful number, since it uses less digits than its factorization.

2444223144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544650 (or 544646 counting only the distinct ones).

The product of its digits is 24576, while the sum is 30.

The square root of 2444223144 is about 49439.0851857111. The cubic root of 2444223144 is about 1347.0393543649.

Adding to 2444223144 its reverse (4413224442), we get a palindrome (6857447586).

It can be divided in two parts, 24442 and 23144, that added together give a triangular number (47586 = T308).

The spelling of 2444223144 in words is "two billion, four hundred forty-four million, two hundred twenty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 408 561 748 1122 1496 2244 4488 544613 1089226 1633839 2178452 3267678 4356904 5990743 6535356 9258421 11981486 13070712 17972229 18516842 23962972 27775263 35944458 37033684 47925944 55550526 71888916 74067368 101842631 111101052 143777832 203685262 222202104 305527893 407370524 611055786 814741048 1222111572 2444223144