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230122102500 = 223254193197269
BaseRepresentation
bin1101011001010001011…
…0001001111011100100
3210222222121100001000100
43112110112021323210
512232242224240000
6253414443144100
722424432411553
oct3262426117344
9728877301010
10230122102500
1189659a22694
1238723515030
1318914a96174
14b1d0831d9a
155ebcb6ba00
hex3594589ee4

230122102500 has 360 divisors, whose sum is σ = 737094398040. Its totient is φ = 60512256000.

The previous prime is 230122102481. The next prime is 230122102513. The reversal of 230122102500 is 5201221032.

230122102500 is a `hidden beast` number, since 2 + 30 + 122 + 10 + 2 + 500 = 666.

230122102500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 20 ways, for example, as 229887645156 + 234457344 = 479466^2 + 15312^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 855472366 + ... + 855472634.

It is an arithmetic number, because the mean of its divisors is an integer number (2047484439).

Almost surely, 2230122102500 is an apocalyptic number.

230122102500 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 230122102500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368547199020).

230122102500 is an abundant number, since it is smaller than the sum of its proper divisors (506972295540).

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

230122102500 is a wasteful number, since it uses less digits than its factorization.

230122102500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 230122102500 its reverse (5201221032), we get a palindrome (235323323532).

The spelling of 230122102500 in words is "two hundred thirty billion, one hundred twenty-two million, one hundred two thousand, five hundred".