Search a number
-
+
2231044344 = 233323449083
BaseRepresentation
bin1000010011111011…
…0000100011111000
312202111002210111000
42010332300203320
514032121404334
61005215005000
7106200364314
oct20476604370
95674083430
102231044344
11a45403701
12523209760
132972b0aa9
1417243cb44
15d0d00299
hex84fb08f8

2231044344 has 64 divisors (see below), whose sum is σ = 6466809600. Its totient is φ = 711345888.

The previous prime is 2231044339. The next prime is 2231044357. The reversal of 2231044344 is 4434401322.

It is a happy number.

2231044344 is a `hidden beast` number, since 2 + 2 + 310 + 4 + 4 + 344 = 666.

It is a super-3 number, since 3×22310443443 (a number of 29 digits) contains 333 as substring.

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

It is a congruent number.

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, 219574 + ... + 229509.

It is an arithmetic number, because the mean of its divisors is an integer number (101043900).

Almost surely, 22231044344 is an apocalyptic number.

2231044344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2231044344 is an abundant number, since it is smaller than the sum of its proper divisors (4235765256).

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

2231044344 is a wasteful number, since it uses less digits than its factorization.

2231044344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449121 (or 449111 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 2231044344 is about 47233.9321251153. The cubic root of 2231044344 is about 1306.6804721689.

Adding to 2231044344 its reverse (4434401322), we get a palindrome (6665445666).

The spelling of 2231044344 in words is "two billion, two hundred thirty-one million, forty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 552 621 828 1242 1656 2484 4968 449083 898166 1347249 1796332 2694498 3592664 4041747 5388996 8083494 10328909 10777992 12125241 16166988 20657818 24250482 30986727 32333976 41315636 48500964 61973454 82631272 92960181 97001928 123946908 185920362 247893816 278880543 371840724 557761086 743681448 1115522172 2231044344