Search a number
-
+
2238510708 = 2233721313229
BaseRepresentation
bin1000010101101100…
…1111011001110100
312210000011010102000
42011123033121310
514041024320313
61010043015300
7106321012200
oct20533173164
95700133360
102238510708
11a49643255
1252580a530
132989c6365
14173423b00
15d17c7673
hex856cf674

2238510708 has 144 divisors (see below), whose sum is σ = 6804705600. Its totient is φ = 634495680.

The previous prime is 2238510697. The next prime is 2238510709. The reversal of 2238510708 is 8070158322.

It is a super-2 number, since 2×22385107082 = 10021860379661322528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2238510709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 691638 + ... + 694866.

It is an arithmetic number, because the mean of its divisors is an integer number (47254900).

Almost surely, 22238510708 is an apocalyptic number.

2238510708 is a gapful number since it is divisible by the number (28) 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 2238510708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3402352800).

2238510708 is an abundant number, since it is smaller than the sum of its proper divisors (4566194892).

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

2238510708 is a wasteful number, since it uses less digits than its factorization.

2238510708 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3387 (or 3372 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 2238510708 is about 47312.9021303915. The cubic root of 2238510708 is about 1308.1364852107.

The spelling of 2238510708 in words is "two billion, two hundred thirty-eight million, five hundred ten thousand, seven hundred eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 131 147 189 196 252 262 294 378 393 441 524 588 756 786 882 917 1179 1323 1572 1764 1834 2358 2646 2751 3229 3537 3668 4716 5292 5502 6419 6458 7074 8253 9687 11004 12838 12916 14148 16506 19257 19374 22603 24759 25676 29061 33012 38514 38748 45206 49518 57771 58122 67809 77028 87183 90412 99036 115542 116244 135618 158221 173313 174366 203427 231084 271236 316442 346626 348732 406854 422999 474663 610281 632884 693252 813708 845998 949326 1220562 1268997 1423989 1691996 1898652 2441124 2537994 2847978 2960993 3806991 4271967 5075988 5695956 5921986 7613982 8543934 8882979 11420973 11843972 15227964 17087868 17765958 20726951 22841946 26648937 35531916 41453902 45683892 53297874 62180853 79946811 82907804 106595748 124361706 159893622 186542559 248723412 319787244 373085118 559627677 746170236 1119255354 2238510708