Search a number
-
+
9768280228 = 2271922342017
BaseRepresentation
bin10010001100011110…
…00010000010100100
3221012202202001100121
421012033002002210
5130001134431403
64253144051324
7464032004050
oct110617020244
927182661317
109768280228
114162a37573
121a87463b44
13bc89a8495
14689484c60
153c288a3bd
hex2463c20a4

9768280228 has 72 divisors (see below), whose sum is σ = 21515905152. Its totient is φ = 3793540608.

The previous prime is 9768280187. The next prime is 9768280229. The reversal of 9768280228 is 8220828679.

It is a super-2 number, since 2×97682802282 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9768280229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211476 + ... + 253492.

It is an arithmetic number, because the mean of its divisors is an integer number (298832016).

Almost surely, 29768280228 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9768280228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10757952576).

9768280228 is an abundant number, since it is smaller than the sum of its proper divisors (11747624924).

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

9768280228 is a wasteful number, since it uses less digits than its factorization.

9768280228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42089 (or 42068 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 52.

The square root of 9768280228 is about 98834.6104762901. The cubic root of 9768280228 is about 2137.6636385010.

The spelling of 9768280228 in words is "nine billion, seven hundred sixty-eight million, two hundred eighty thousand, two hundred twenty-eight".

Divisors: 1 2 4 7 14 19 23 28 38 46 76 92 133 161 266 322 361 437 532 644 722 874 1444 1748 2527 3059 5054 6118 8303 10108 12236 16606 33212 42017 58121 84034 116242 168068 232484 294119 588238 798323 966391 1176476 1596646 1932782 3193292 3865564 5588261 6764737 11176522 13529474 15168137 18361429 22353044 27058948 30336274 36722858 60672548 73445716 106176959 128530003 212353918 257060006 348867151 424707836 514120012 697734302 1395468604 2442070057 4884140114 9768280228