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2244123144 = 23346156773
BaseRepresentation
bin1000010111000010…
…1001101000001000
312210101201021020000
42011300221220020
514043443420034
61010403203000
7106416506034
oct20560515010
95711637200
102244123144
11a51826a2a
12527676460
13299c0cb23
141740851c4
15d2035599
hex85c29a08

2244123144 has 80 divisors (see below), whose sum is σ = 6388778220. Its totient is φ = 735765120.

The previous prime is 2244123137. The next prime is 2244123187. The reversal of 2244123144 is 4413214422.

It can be written as a sum of positive squares in 2 ways, for example, as 1858472100 + 385651044 = 43110^2 + 19638^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11142 + ... + 67914.

Almost surely, 22244123144 is an apocalyptic number.

2244123144 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 2244123144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3194389110).

2244123144 is an abundant number, since it is smaller than the sum of its proper divisors (4144655076).

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

2244123144 is a wasteful number, since it uses less digits than its factorization.

2244123144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56852 (or 56839 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 2244123144 is about 47372.1768974152. The cubic root of 2244123144 is about 1309.2288342367.

Adding to 2244123144 its reverse (4413214422), we get a palindrome (6657337566).

The spelling of 2244123144 in words is "two billion, two hundred forty-four million, one hundred twenty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 81 108 122 162 183 216 244 324 366 488 549 648 732 1098 1464 1647 2196 3294 4392 4941 6588 9882 13176 19764 39528 56773 113546 170319 227092 340638 454184 510957 681276 1021914 1362552 1532871 2043828 3065742 3463153 4087656 4598613 6131484 6926306 9197226 10389459 12262968 13852612 18394452 20778918 27705224 31168377 36788904 41557836 62336754 83115672 93505131 124673508 187010262 249347016 280515393 374020524 561030786 748041048 1122061572 2244123144