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230078180 = 22597233509
BaseRepresentation
bin11011011011010…
…11011011100100
3121000221011221002
431231223123210
5432400000210
634455212432
75462426603
oct1555533344
9530834832
10230078180
11108967162
1265077118
1338888a47
14227b1a3a
15152eb4a5
hexdb6b6e4

230078180 has 48 divisors (see below), whose sum is σ = 491203440. Its totient is φ = 90513408.

The previous prime is 230078179. The next prime is 230078197. The reversal of 230078180 is 81870032.

230078180 is digitally balanced in base 3, 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 8 ways, for example, as 1705636 + 228372544 = 1306^2 + 15112^2 .

It is a super-2 number, since 2×2300781802 = 105871937824224800, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 451766 + ... + 452274.

It is an arithmetic number, because the mean of its divisors is an integer number (10233405).

Almost surely, 2230078180 is an apocalyptic number.

230078180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230078180 is an abundant number, since it is smaller than the sum of its proper divisors (261125260).

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

230078180 is a wasteful number, since it uses less digits than its factorization.

230078180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 230078180 is about 15168.3281873778. The cubic root of 230078180 is about 612.7619803904.

The spelling of 230078180 in words is "two hundred thirty million, seventy-eight thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 97 194 233 388 466 485 509 932 970 1018 1165 1940 2036 2330 2545 4660 5090 10180 22601 45202 49373 90404 98746 113005 118597 197492 226010 237194 246865 452020 474388 493730 592985 987460 1185970 2371940 11503909 23007818 46015636 57519545 115039090 230078180