Search a number
-
+
230882678208 = 26337213375669
BaseRepresentation
bin1101011100000110101…
…1100001010111000000
3211001221121111021202000
43113001223201113000
512240321431200313
6254022133024000
722452326245500
oct3270153412700
9731847437660
10230882678208
1189a0a286456
12388b6185000
1318a06524570
14b263857a00
156014807673
hex35c1ae15c0

230882678208 has 672 divisors, whose sum is σ = 873440366400. Its totient is φ = 59235950592.

The previous prime is 230882678183. The next prime is 230882678267. The reversal of 230882678208 is 802876288032.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×2308826782082 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 40724398 + ... + 40730066.

It is an arithmetic number, because the mean of its divisors is an integer number (1299762450).

Almost surely, 2230882678208 is an apocalyptic number.

230882678208 is a gapful number since it is divisible by the number (28) 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 230882678208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436720183200).

230882678208 is an abundant number, since it is smaller than the sum of its proper divisors (642557688192).

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

230882678208 is a wasteful number, since it uses less digits than its factorization.

230882678208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5754 (or 5731 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 230882678208 in words is "two hundred thirty billion, eight hundred eighty-two million, six hundred seventy-eight thousand, two hundred eight".