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230120312220 = 22325192911320533
BaseRepresentation
bin1101011001010000111…
…1010100110110011100
3210222222110222002012200
43112110033110312130
512232241244442340
6253414340531500
722424411244231
oct3262417246634
9728873862180
10230120312220
1189658a0a617
12387229b0b90
13189145ba326
14b1d04c7788
155ebc916330
hex35943d4d9c

230120312220 has 288 divisors, whose sum is σ = 766870977600. Its totient is φ = 55631536128.

The previous prime is 230120312209. The next prime is 230120312221. The reversal of 230120312220 is 22213021032.

230120312220 is a `hidden beast` number, since 230 + 1 + 203 + 12 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 230120312193 and 230120312202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230120312221) 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, 11197074 + ... + 11217606.

It is an arithmetic number, because the mean of its divisors is an integer number (2662746450).

Almost surely, 2230120312220 is an apocalyptic number.

230120312220 is a gapful number since it is divisible by the number (20) 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 230120312220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383435488800).

230120312220 is an abundant number, since it is smaller than the sum of its proper divisors (536750665380).

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

230120312220 is a wasteful number, since it uses less digits than its factorization.

230120312220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20709 (or 20704 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 230120312220 its reverse (22213021032), we get a palindrome (252333333252).

The spelling of 230120312220 in words is "two hundred thirty billion, one hundred twenty million, three hundred twelve thousand, two hundred twenty".