Search a number
-
+
2232300114 = 2331129129589
BaseRepresentation
bin1000010100001110…
…0011001001010010
312202120110121002000
42011003203021102
514032432100424
61005301534430
7106214144412
oct20503431122
95676417060
102232300114
11a46091130
12523714416
13297630555
14172688642
15d0e9c3c9
hex850e3252

2232300114 has 64 divisors (see below), whose sum is σ = 5598288000. Its totient is φ = 653123520.

The previous prime is 2232300113. The next prime is 2232300127. The reversal of 2232300114 is 4110032322.

It is a super-3 number, since 3×22323001143 (a number of 29 digits) contains 333 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2232300113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47569 + ... + 82020.

It is an arithmetic number, because the mean of its divisors is an integer number (87473250).

Almost surely, 22232300114 is an apocalyptic number.

2232300114 is an abundant number, since it is smaller than the sum of its proper divisors (3365987886).

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

2232300114 is a wasteful number, since it uses less digits than its factorization.

2232300114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129640 (or 129634 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2232300114 is about 47247.2233469862. The cubic root of 2232300114 is about 1306.9255864316.

Adding to 2232300114 its reverse (4110032322), we get a palindrome (6342332436).

The spelling of 2232300114 in words is "two billion, two hundred thirty-two million, three hundred thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 29 33 54 58 66 87 99 174 198 261 297 319 522 594 638 783 957 1566 1914 2871 5742 8613 17226 129589 259178 388767 777534 1166301 1425479 2332602 2850958 3498903 3758081 4276437 6997806 7516162 8552874 11274243 12829311 22548486 25658622 33822729 38487933 41338891 67645458 76975866 82677782 101468187 124016673 202936374 248033346 372050019 744100038 1116150057 2232300114