Search a number
-
+
2231224344 = 233230989227
BaseRepresentation
bin1000010011111101…
…1100100000011000
312202111102221101200
42010333130200120
514032143134334
61005222514200
7106202044146
oct20477344030
95674387350
102231224344
11a45516968
12523295960
132973449bb
14172488596
15d0d38799
hex84fdc818

2231224344 has 24 divisors (see below), whose sum is σ = 6042899460. Its totient is φ = 743741424.

The previous prime is 2231224339. The next prime is 2231224363. The reversal of 2231224344 is 4434221322.

2231224344 is a `hidden beast` number, since 2 + 2 + 312 + 2 + 4 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×22312243443 (a number of 29 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15494542 + ... + 15494685.

Almost surely, 22231224344 is an apocalyptic number.

2231224344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2231224344 is an abundant number, since it is smaller than the sum of its proper divisors (3811675116).

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

2231224344 is a wasteful number, since it uses less digits than its factorization.

2231224344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30989239 (or 30989232 counting only the distinct ones).

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

The square root of 2231224344 is about 47235.8374965449. The cubic root of 2231224344 is about 1306.7156120890.

Adding to 2231224344 its reverse (4434221322), we get a palindrome (6665445666).

It can be divided in two parts, 22312 and 24344, that added together give a 6-th power (46656 = 66).

The spelling of 2231224344 in words is "two billion, two hundred thirty-one million, two hundred twenty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 30989227 61978454 92967681 123956908 185935362 247913816 278903043 371870724 557806086 743741448 1115612172 2231224344