Search a number
-
+
22968757500 = 2235413235577
BaseRepresentation
bin10101011001000010…
…110110110011111100
32012021201202202221020
4111121002312303330
5334020000220000
614315100104140
71442121134403
oct253102666374
965251682836
1022968757500
1198172a0517
124550235050
132220770790
14117c6b863a
158e66dcba0
hex5590b6cfc

22968757500 has 120 divisors (see below), whose sum is σ = 72122675856. Its totient is φ = 5653824000.

The previous prime is 22968757463. The next prime is 22968757501. The reversal of 22968757500 is 575786922.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22968757501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20289 + ... + 215288.

Almost surely, 222968757500 is an apocalyptic number.

22968757500 is a gapful number since it is divisible by the number (20) 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 22968757500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36061337928).

22968757500 is an abundant number, since it is smaller than the sum of its proper divisors (49153918356).

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

22968757500 is a wasteful number, since it uses less digits than its factorization.

22968757500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235617 (or 235600 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 51.

It can be divided in two parts, 2296875 and 7500, that multiplied together give a square (17226562500 = 1312502).

The spelling of 22968757500 in words is "twenty-two billion, nine hundred sixty-eight million, seven hundred fifty-seven thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 125 130 150 156 195 250 260 300 325 375 390 500 625 650 750 780 975 1250 1300 1500 1625 1875 1950 2500 3250 3750 3900 4875 6500 7500 8125 9750 16250 19500 24375 32500 48750 97500 235577 471154 706731 942308 1177885 1413462 2355770 2826924 3062501 3533655 4711540 5889425 6125002 7067310 9187503 11778850 12250004 14134620 15312505 17668275 18375006 23557700 29447125 30625010 35336550 36750012 45937515 58894250 61250020 70673100 76562525 88341375 91875030 117788500 147235625 153125050 176682750 183750060 229687575 294471250 306250100 353365500 382812625 441706875 459375150 588942500 765625250 883413750 918750300 1148437875 1531250500 1766827500 1914063125 2296875750 3828126250 4593751500 5742189375 7656252500 11484378750 22968757500