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230422413312 = 2163671353
BaseRepresentation
bin1101011010011000111…
…1110000000000000000
3211000202112102102000000
43112212033300000000
512233401114211222
6253504332000000
722435040124360
oct3264617600000
9730675372000
10230422413312
11897a3499643
12387a8000000
1318962072580
14b21c6869a0
155ed91dc9ac
hex35a63f0000

230422413312 has 952 divisors, whose sum is σ = 866440126944. Its totient is φ = 59624128512.

The previous prime is 230422413307. The next prime is 230422413329. The reversal of 230422413312 is 213314224032.

230422413312 is a `hidden beast` number, since 2 + 304 + 2 + 2 + 41 + 3 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4347592678 + ... + 4347592730.

Almost surely, 2230422413312 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 230422413312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433220063472).

230422413312 is an abundant number, since it is smaller than the sum of its proper divisors (636017713632).

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

230422413312 is an frugal number, since it uses more digits than its factorization.

230422413312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 230422413312 its reverse (213314224032), we get a palindrome (443736637344).

The spelling of 230422413312 in words is "two hundred thirty billion, four hundred twenty-two million, four hundred thirteen thousand, three hundred twelve".