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230067440 = 24529131757
BaseRepresentation
bin11011011011010…
…00110011110000
3121000220122012022
431231220303300
5432344124230
634455051012
75462353361
oct1555506360
9530818168
10230067440
1110895a089
1265070a68
1338883ba5
14227abb68
15152e81e5
hexdb68cf0

230067440 has 80 divisors (see below), whose sum is σ = 558312480. Its totient is φ = 88058880.

The previous prime is 230067433. The next prime is 230067449. The reversal of 230067440 is 44760032.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230067449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303542 + ... + 304298.

It is an arithmetic number, because the mean of its divisors is an integer number (6978906).

Almost surely, 2230067440 is an apocalyptic number.

230067440 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 230067440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279156240).

230067440 is an abundant number, since it is smaller than the sum of its proper divisors (328245040).

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

230067440 is a wasteful number, since it uses less digits than its factorization.

230067440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 26.

The square root of 230067440 is about 15167.9741560961. The cubic root of 230067440 is about 612.7524457096.

The spelling of 230067440 in words is "two hundred thirty million, sixty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 131 145 232 262 290 464 524 580 655 757 1048 1160 1310 1514 2096 2320 2620 3028 3785 3799 5240 6056 7570 7598 10480 12112 15140 15196 18995 21953 30280 30392 37990 43906 60560 60784 75980 87812 99167 109765 151960 175624 198334 219530 303920 351248 396668 439060 495835 793336 878120 991670 1586672 1756240 1983340 2875843 3966680 5751686 7933360 11503372 14379215 23006744 28758430 46013488 57516860 115033720 230067440