Search a number
-
+
221020231333200 = 243521314167963547
BaseRepresentation
bin110010010000010001001000…
…011000000111010101010000
31001222120022211221100012110020
4302100101020120013111100
5212432143413210130300
62102023143105503440
764361120241520245
oct6220211030072520
91058508757305406
10221020231333200
1164473176669362
1220957250341b80
139643170121110
143c816171cb5cc
151a8439b8a08a0
hexc90448607550

221020231333200 has 120 divisors (see below), whose sum is σ = 762463126299168. Its totient is φ = 54404980016640.

The previous prime is 221020231333193. The next prime is 221020231333241. The reversal of 221020231333200 is 2333132020122.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7083966174 + ... + 7083997373.

Almost surely, 2221020231333200 is an apocalyptic number.

221020231333200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221020231333200 is an abundant number, since it is smaller than the sum of its proper divisors (541442894965968).

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

221020231333200 is a wasteful number, since it uses less digits than its factorization.

221020231333200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14167963581 (or 14167963570 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 221020231333200 its reverse (2333132020122), we get a palindrome (223353363353322).

The spelling of 221020231333200 in words is "two hundred twenty-one trillion, twenty billion, two hundred thirty-one million, three hundred thirty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 39 40 48 50 52 60 65 75 78 80 100 104 120 130 150 156 195 200 208 240 260 300 312 325 390 400 520 600 624 650 780 975 1040 1200 1300 1560 1950 2600 3120 3900 5200 7800 15600 14167963547 28335927094 42503890641 56671854188 70839817735 85007781282 113343708376 141679635470 170015562564 184183526111 212519453205 226687416752 283359270940 340031125128 354199088675 368367052222 425038906410 552550578333 566718541880 680062250256 708398177350 736734104444 850077812820 920917630555 1062597266025 1105101156666 1133437083760 1416796354700 1473468208888 1700155625640 1841835261110 2125194532050 2210202313332 2762752891665 2833592709400 2946936417776 3400311251280 3683670522220 4250389064100 4420404626664 4604588152775 5525505783330 5667185418800 7367341044440 8500778128200 8840809253328 9209176305550 11051011566660 13813764458325 14734682088880 17001556256400 18418352611100 22102023133320 27627528916650 36836705222200 44204046266640 55255057833300 73673410444400 110510115666600 221020231333200