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230114343312 = 243372372291283
BaseRepresentation
bin1101011001001111100…
…0100011100110010000
3210222222001201211102000
43112103320203212100
512232233232441222
6253414004554000
722424306434200
oct3262370434620
9728861654360
10230114343312
1189655603037
12387209b2900
13189132aa529
14b1cd7b2400
155ebc1379ac
hex3593e23990

230114343312 has 480 divisors, whose sum is σ = 793182268800. Its totient is φ = 63641023488.

The previous prime is 230114343311. The next prime is 230114343337. The reversal of 230114343312 is 213343411032.

It is a happy number.

230114343312 is a `hidden beast` number, since 2 + 3 + 0 + 1 + 1 + 4 + 343 + 312 = 666.

It is a super-2 number, since 2×2301143433122 (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (230114343311) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 179355823 + ... + 179357105.

It is an arithmetic number, because the mean of its divisors is an integer number (1652463060).

Almost surely, 2230114343312 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 230114343312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396591134400).

230114343312 is an abundant number, since it is smaller than the sum of its proper divisors (563067925488).

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

230114343312 is a wasteful number, since it uses less digits than its factorization.

230114343312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580 (or 1561 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 230114343312 its reverse (213343411032), we get a palindrome (443457754344).

The spelling of 230114343312 in words is "two hundred thirty billion, one hundred fourteen million, three hundred forty-three thousand, three hundred twelve".