Search a number
-
+
22132330230300 = 22352102877717113
BaseRepresentation
bin1010000100001000101011…
…01011100111001000011100
32220100211102010222120021120
411002010111223213020130
510400104003014332200
6115023241355130540
74443002526643443
oct502042553471034
986324363876246
1022132330230300
1170632a5476514
122595488743a50
13c470ba41a814
145672d3873d5a
15285aa556a9a0
hex142115ae721c

22132330230300 has 72 divisors (see below), whose sum is σ = 64036920551856. Its totient is φ = 5901889128960.

The previous prime is 22132330230293. The next prime is 22132330230337. The reversal of 22132330230300 is 303203323122.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 30504544 + ... + 31221656.

Almost surely, 222132330230300 is an apocalyptic number.

22132330230300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22132330230300 is an abundant number, since it is smaller than the sum of its proper divisors (41904590321556).

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

22132330230300 is a wasteful number, since it uses less digits than its factorization.

22132330230300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820007 (or 820000 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 22132330230300 its reverse (303203323122), we get a palindrome (22435533553422).

The spelling of 22132330230300 in words is "twenty-two trillion, one hundred thirty-two billion, three hundred thirty million, two hundred thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 102877 205754 308631 411508 514385 617262 717113 1028770 1234524 1434226 1543155 2057540 2151339 2571925 2868452 3086310 3585565 4302678 5143850 6172620 7171130 7715775 8605356 10287700 10756695 14342260 15431550 17927825 21513390 30863100 35855650 43026780 53783475 71711300 107566950 215133900 73774434101 147548868202 221323302303 295097736404 368872170505 442646604606 737744341010 885293209212 1106616511515 1475488682020 1844360852525 2213233023030 3688721705050 4426466046060 5533082557575 7377443410100 11066165115150 22132330230300