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230801509380 = 2235133153180097
BaseRepresentation
bin1101011011110011010…
…1111000110000000100
3211001201221202111001010
43112330311320300010
512240140141300010
6254010113202220
722450322313621
oct3267465706004
9731657674033
10230801509380
1189978487082
1238892b60370
13189c2775180
14b256b69348
15600c622620
hex35bcd78c04

230801509380 has 192 divisors, whose sum is σ = 731964377088. Its totient is φ = 53942353920.

The previous prime is 230801509343. The next prime is 230801509423. The reversal of 230801509380 is 83905108032.

230801509380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 63 ways as a sum of consecutive naturals, for example, 1191492 + ... + 1371588.

It is an arithmetic number, because the mean of its divisors is an integer number (3812314464).

Almost surely, 2230801509380 is an apocalyptic number.

230801509380 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 230801509380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365982188544).

230801509380 is an abundant number, since it is smaller than the sum of its proper divisors (501162867708).

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

230801509380 is a wasteful number, since it uses less digits than its factorization.

230801509380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180206 (or 180204 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 230801509380 in words is "two hundred thirty billion, eight hundred one million, five hundred nine thousand, three hundred eighty".