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230443400232 = 2332318910331123
BaseRepresentation
bin1101011010011101111…
…1110011110000101000
3211000210222220122122100
43112213133303300220
512233422002301412
6253510401453400
722435413403623
oct3264737636050
9730728818570
10230443400232
1189804323401
12387b3041260
131896650cc76
14b22138adba
155edae85edc
hex35a77f3c28

230443400232 has 192 divisors, whose sum is σ = 652700505600. Its totient is φ = 73364797440.

The previous prime is 230443400197. The next prime is 230443400251. The reversal of 230443400232 is 232004344032.

230443400232 is a `hidden beast` number, since 23 + 0 + 4 + 4 + 3 + 400 + 232 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 230443400196 and 230443400205.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205202823 + ... + 205203945.

It is an arithmetic number, because the mean of its divisors is an integer number (3399481800).

Almost surely, 2230443400232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230443400232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326350252800).

230443400232 is an abundant number, since it is smaller than the sum of its proper divisors (422257105368).

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

230443400232 is a wasteful number, since it uses less digits than its factorization.

230443400232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2288 (or 2281 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 230443400232 its reverse (232004344032), we get a palindrome (462447744264).

The spelling of 230443400232 in words is "two hundred thirty billion, four hundred forty-three million, four hundred thousand, two hundred thirty-two".