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323223220020 = 2235163228114489
BaseRepresentation
bin1001011010000011001…
…10101110111100110100
31010220021222111211122010
410231001212232330310
520243430121020040
6404253043204220
732231526016221
oct4550146567464
91126258454563
10323223220020
11115095099218
1252786976670
132463121500c
1411903538948
15861b3b2e80
hex4b419aef34

323223220020 has 96 divisors (see below), whose sum is σ = 911039391360. Its totient is φ = 85620602880.

The previous prime is 323223220009. The next prime is 323223220031. The reversal of 323223220020 is 20022322323.

323223220020 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (323223220009) and next prime (323223220031).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22300936 + ... + 22315424.

It is an arithmetic number, because the mean of its divisors is an integer number (9489993660).

Almost surely, 2323223220020 is an apocalyptic number.

323223220020 is a gapful number since it is divisible by the number (30) 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 323223220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455519695680).

323223220020 is an abundant number, since it is smaller than the sum of its proper divisors (587816171340).

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

323223220020 is a wasteful number, since it uses less digits than its factorization.

323223220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16945 (or 16943 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

Adding to 323223220020 its reverse (20022322323), we get a palindrome (343245542343).

The spelling of 323223220020 in words is "three hundred twenty-three billion, two hundred twenty-three million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 163 326 489 652 815 978 1630 1956 2281 2445 3260 4562 4890 6843 9124 9780 11405 13686 14489 22810 27372 28978 34215 43467 45620 57956 68430 72445 86934 136860 144890 173868 217335 289780 371803 434670 743606 869340 1115409 1487212 1859015 2230818 2361707 3718030 4461636 4723414 5577045 7085121 7436060 9446828 11154090 11808535 14170242 22308180 23617070 28340484 33049409 35425605 47234140 66098818 70851210 99148227 132197636 141702420 165247045 198296454 330494090 396592908 495741135 660988180 991482270 1982964540 5387053667 10774107334 16161161001 21548214668 26935268335 32322322002 53870536670 64644644004 80805805005 107741073340 161611610010 323223220020