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230022542112 = 2531110110132129
BaseRepresentation
bin1101011000111001101…
…0010111001100100000
3210222201122222211211120
43112032122113030200
512232041232321422
6253400525212240
722422113230206
oct3261632271440
9728648884746
10230022542112
1189608801480
12386b6101080
13188ca2777ac
14b1c1517076
155eb405245c
hex358e697320

230022542112 has 192 divisors, whose sum is σ = 666192159360. Its totient is φ = 68913152000.

The previous prime is 230022542111. The next prime is 230022542137. The reversal of 230022542112 is 211245220032.

It is a super-3 number, since 3×2300225421123 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (230022542111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108041464 + ... + 108043592.

It is an arithmetic number, because the mean of its divisors is an integer number (3469750830).

Almost surely, 2230022542112 is an apocalyptic number.

230022542112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230022542112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333096079680).

230022542112 is an abundant number, since it is smaller than the sum of its proper divisors (436169617248).

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

230022542112 is a wasteful number, since it uses less digits than its factorization.

230022542112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3267 (or 3259 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 230022542112 its reverse (211245220032), we get a palindrome (441267762144).

The spelling of 230022542112 in words is "two hundred thirty billion, twenty-two million, five hundred forty-two thousand, one hundred twelve".