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230022233011332 = 22326389506472537
BaseRepresentation
bin110100010011010000111001…
…011111010011010010000100
31010011102220120220122210222200
4310103100321133103102010
5220122141013122330312
62133114431031154500
766310362236340036
oct6423207137232204
91104386526583880
10230022233011332
116732397695a933
122196ba24515a30
139b470078c4c28
1440b31c7a87c56
151b8d615b720dc
hexd134397d3484

230022233011332 has 18 divisors (see below), whose sum is σ = 581445089000958. Its totient is φ = 76674077670432.

The previous prime is 230022233011267. The next prime is 230022233011381. The reversal of 230022233011332 is 233110332220032.

230022233011332 is a `hidden beast` number, since 2 + 3 + 0 + 0 + 2 + 2 + 23 + 301 + 1 + 332 = 666.

It can be written as a sum of positive squares in only one way, i.e., 219756194078976 + 10266038932356 = 14824176^2 + 3204066^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a junction number, because it is equal to n+sod(n) for n = 230022233011296 and 230022233011305.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3194753236233 + ... + 3194753236304.

Almost surely, 2230022233011332 is an apocalyptic number.

It is an amenable number.

230022233011332 is an abundant number, since it is smaller than the sum of its proper divisors (351422855989626).

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

230022233011332 is a wasteful number, since it uses less digits than its factorization.

230022233011332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6389506472547 (or 6389506472542 counting only the distinct ones).

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

Adding to 230022233011332 its reverse (233110332220032), we get a palindrome (463132565231364).

The spelling of 230022233011332 in words is "two hundred thirty trillion, twenty-two billion, two hundred thirty-three million, eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 6389506472537 12779012945074 19168519417611 25558025890148 38337038835222 57505558252833 76674077670444 115011116505666 230022233011332