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230176442880 = 29365294253
BaseRepresentation
bin1101011001011110010…
…1011100101000000000
3211000010101120211000000
43112113211130220000
512232400132133010
6253424104000000
722425662324406
oct3262745345000
9730111524000
10230176442880
118968766839a
1238739760000
1318923111037
14b1d7b39476
155ec28027c0
hex359795ca00

230176442880 has 560 divisors, whose sum is σ = 856181395080. Its totient is φ = 59249885184.

The previous prime is 230176442879. The next prime is 230176442893. The reversal of 230176442880 is 88244671032.

It is a happy number.

230176442880 is a `hidden beast` number, since 2 + 30 + 176 + 442 + 8 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 138991769856 + 91184673024 = 372816^2 + 301968^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 54118834 + ... + 54123086.

Almost surely, 2230176442880 is an apocalyptic number.

230176442880 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 230176442880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428090697540).

230176442880 is an abundant number, since it is smaller than the sum of its proper divisors (626004952200).

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

230176442880 is an frugal number, since it uses more digits than its factorization.

230176442880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4323 (or 4292 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 230176442880 in words is "two hundred thirty billion, one hundred seventy-six million, four hundred forty-two thousand, eight hundred eighty".