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230132122220 = 22571113171674049
BaseRepresentation
bin1101011001010011110…
…0011000001001101100
3211000000022012002111002
43112110330120021230
512232302310402340
6253415442015432
722424613522560
oct3262474301154
9730008162432
10230132122220
1189664646650
1238726947578
1318916b939b0
14b1d1cbd6a0
155ebd99a715
hex3594f1826c

230132122220 has 384 divisors, whose sum is σ = 691329945600. Its totient is φ = 61928570880.

The previous prime is 230132122177. The next prime is 230132122223. The reversal of 230132122220 is 22221231032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 230132122192 and 230132122201.

It is not an unprimeable number, because it can be changed into a prime (230132122223) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 56834756 + ... + 56838804.

It is an arithmetic number, because the mean of its divisors is an integer number (1800338400).

Almost surely, 2230132122220 is an apocalyptic number.

230132122220 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 230132122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345664972800).

230132122220 is an abundant number, since it is smaller than the sum of its proper divisors (461197823380).

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

230132122220 is a wasteful number, since it uses less digits than its factorization.

230132122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4273 (or 4271 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 230132122220 its reverse (22221231032), we get a palindrome (252353353252).

The spelling of 230132122220 in words is "two hundred thirty billion, one hundred thirty-two million, one hundred twenty-two thousand, two hundred twenty".