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230107392 = 2838137
BaseRepresentation
bin11011011011100…
…10100100000000
3121000222200000000
431231302210000
5432401414032
634500000000
75462611014
oct1555624400
9530880000
10230107392
111089870a9
1265090000
1338899128
14227bc544
1515304e7c
hexdb72900

230107392 has 162 divisors, whose sum is σ = 693967638. Its totient is φ = 76142592.

The previous prime is 230107357. The next prime is 230107399. The reversal of 230107392 is 293701032.

It can be written as a sum of positive squares in only one way, i.e., 203233536 + 26873856 = 14256^2 + 5184^2 .

It is a tau number, because it is divible by the number of its divisors (162).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230107399) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1679548 + ... + 1679684.

Almost surely, 2230107392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230107392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346983819).

230107392 is an abundant number, since it is smaller than the sum of its proper divisors (463860246).

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

230107392 is an frugal number, since it uses more digits than its factorization.

230107392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 230107392 is about 15169.2910842926. The cubic root of 230107392 is about 612.7879125112.

The spelling of 230107392 in words is "two hundred thirty million, one hundred seven thousand, three hundred ninety-two".