Search a number
-
+
230781672 = 2332112111381
BaseRepresentation
bin11011100000101…
…11001011101000
3121002020220221100
431300113023220
5433040003142
634522241400
75501416602
oct1560271350
9532226840
10230781672
111092a7760
1265356260
1338a74004
1422916172
15153d9b4c
hexdc172e8

230781672 has 96 divisors (see below), whose sum is σ = 685582560. Its totient is φ = 69552000.

The previous prime is 230781659. The next prime is 230781751. The reversal of 230781672 is 276187032.

230781672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2307816722 = 106520360262231168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166422 + ... + 167802.

It is an arithmetic number, because the mean of its divisors is an integer number (7141485).

Almost surely, 2230781672 is an apocalyptic number.

230781672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a pronic number, being equal to 15191×15192.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230781672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342791280).

230781672 is an abundant number, since it is smaller than the sum of its proper divisors (454800888).

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

230781672 is a wasteful number, since it uses less digits than its factorization.

230781672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1615 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 230781672 is about 15191.4999917717. The cubic root of 230781672 is about 613.3858763535.

The spelling of 230781672 in words is "two hundred thirty million, seven hundred eighty-one thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 211 264 396 422 633 792 844 1266 1381 1688 1899 2321 2532 2762 3798 4143 4642 5064 5524 6963 7596 8286 9284 11048 12429 13926 15191 15192 16572 18568 20889 24858 27852 30382 33144 41778 45573 49716 55704 60764 83556 91146 99432 121528 136719 167112 182292 273438 291391 364584 546876 582782 874173 1093752 1165564 1748346 2331128 2622519 3205301 3496692 5245038 6410602 6993384 9615903 10490076 12821204 19231806 20980152 25642408 28847709 38463612 57695418 76927224 115390836 230781672