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230311223332020 = 223252814553404969
BaseRepresentation
bin110100010111011110000010…
…101001111000110010110100
31010012110112112010221011222100
4310113132002221320302310
5220141404341133111040
62133455303152502100
766340302546464115
oct6427360251706264
91105415463834870
10230311223332020
1167425494408106
12219b7a3684a930
139b683417ba59c
1440c31a091a20c
151b95dcb9cdb30
hexd17782a78cb4

230311223332020 has 72 divisors (see below), whose sum is σ = 701096870040840. Its totient is φ = 61197762769920.

The previous prime is 230311223332007. The next prime is 230311223332039. The reversal of 230311223332020 is 20233322113032.

230311223332020 is a `hidden beast` number, since 2 + 3 + 0 + 3 + 1 + 122 + 333 + 202 + 0 = 666.

230311223332020 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 799085815056 + 229512137516964 = 893916^2 + 15149658^2 .

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, 2276651905 + ... + 2276753064.

It is an arithmetic number, because the mean of its divisors is an integer number (9737456528345).

Almost surely, 2230311223332020 is an apocalyptic number.

230311223332020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230311223332020 is an abundant number, since it is smaller than the sum of its proper divisors (470785646708820).

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

230311223332020 is a wasteful number, since it uses less digits than its factorization.

230311223332020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4553405265 (or 4553405260 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 230311223332020 its reverse (20233322113032), we get a palindrome (250544545445052).

The spelling of 230311223332020 in words is "two hundred thirty trillion, three hundred eleven billion, two hundred twenty-three million, three hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 281 562 843 1124 1405 1686 2529 2810 3372 4215 5058 5620 8430 10116 12645 16860 25290 50580 4553404969 9106809938 13660214907 18213619876 22767024845 27320429814 40980644721 45534049690 54640859628 68301074535 81961289442 91068099380 136602149070 163922578884 204903223605 273204298140 409806447210 819612894420 1279506796289 2559013592578 3838520388867 5118027185156 6397533981445 7677040777734 11515561166601 12795067962890 15354081555468 19192601944335 23031122333202 25590135925780 38385203888670 46062244666404 57577805833005 76770407777340 115155611666010 230311223332020