Search a number
-
+
2440231002 = 2331134711839
BaseRepresentation
bin1001000101110010…
…1111100001011010
320022001201120122000
42101130233201122
514444144343002
61042050341430
7114320423046
oct22134574132
96261646560
102440231002
1110424a0740
1258128a876
132cb733691
14192133026
15e437161c
hex9172f85a

2440231002 has 64 divisors (see below), whose sum is σ = 5933260800. Its totient is φ = 737270640.

The previous prime is 2440230997. The next prime is 2440231043. The reversal of 2440231002 is 2001320442.

2440231002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200199 + ... + 212037.

It is an arithmetic number, because the mean of its divisors is an integer number (92707200).

Almost surely, 22440231002 is an apocalyptic number.

2440231002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2440231002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2966630400).

2440231002 is an abundant number, since it is smaller than the sum of its proper divisors (3493029798).

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

2440231002 is a wasteful number, since it uses less digits than its factorization.

2440231002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12208 (or 12202 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2440231002 is about 49398.6943349721. The cubic root of 2440231002 is about 1346.3055830125.

Adding to 2440231002 its reverse (2001320442), we get a palindrome (4441551444).

It can be divided in two parts, 244023 and 1002, that added together give a square (245025 = 4952).

The spelling of 2440231002 in words is "two billion, four hundred forty million, two hundred thirty-one thousand, two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 347 594 694 1041 2082 3123 3817 6246 7634 9369 11451 11839 18738 22902 23678 34353 35517 68706 71034 103059 106551 130229 206118 213102 260458 319653 390687 639306 781374 1172061 2344122 3516183 4108133 7032366 8216266 12324399 24648798 36973197 45189463 73946394 90378926 110919591 135568389 221839182 271136778 406705167 813410334 1220115501 2440231002