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223240324312000 = 265390911306949
BaseRepresentation
bin110010110000100100110000…
…001110101110101111000000
31002021102120022000221211002201
4302300210300032232233000
5213230032141010441000
62110443104511122544
765010403226466412
oct6260446016565700
91067376260854081
10223240324312000
1165149765235746
1221055578b13454
13977461a705008
143d1ac645289b2
151ac1ed6cd796a
hexcb09303aebc0

223240324312000 has 112 divisors (see below), whose sum is σ = 552862545580800. Its totient is φ = 89294856576000.

The previous prime is 223240324311941. The next prime is 223240324312001. The reversal of 223240324312000 is 213423042322.

It is a super-3 number, since 3×2232403243120003 (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 223240324312000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223240324312001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 727134526 + ... + 727441474.

It is an arithmetic number, because the mean of its divisors is an integer number (4936272728400).

Almost surely, 2223240324312000 is an apocalyptic number.

223240324312000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223240324312000 is an abundant number, since it is smaller than the sum of its proper divisors (329622221268800).

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

223240324312000 is an equidigital number, since it uses as much as digits as its factorization.

223240324312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397887 (or 397867 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 223240324312000 its reverse (213423042322), we get a palindrome (223453747354322).

The spelling of 223240324312000 in words is "two hundred twenty-three trillion, two hundred forty billion, three hundred twenty-four million, three hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 4000 8000 90911 181822 306949 363644 454555 613898 727288 909110 1227796 1454576 1534745 1818220 2272775 2455592 2909152 3069490 3636440 4545550 4911184 5818304 6138980 7272880 7673725 9091100 9822368 11363875 12277960 14545760 15347450 18182200 19644736 22727750 24555920 29091520 30694900 36364400 38368625 45455500 49111840 61389800 72728800 76737250 90911000 98223680 122779600 145457600 153474500 181822000 245559200 306949000 363644000 491118400 613898000 727288000 1227796000 2455592000 27905040539 55810081078 111620162156 139525202695 223240324312 279050405390 446480648624 558100810780 697626013475 892961297248 1116201621560 1395252026950 1785922594496 2232403243120 2790504053900 3488130067375 4464806486240 5581008107800 6976260134750 8929612972480 11162016215600 13952520269500 22324032431200 27905040539000 44648064862400 55810081078000 111620162156000 223240324312000