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230070880 = 25513532087
BaseRepresentation
bin11011011011010…
…01101001100000
3121000220210220201
431231221221200
5432344232010
634455114544
75462366404
oct1555515140
9530823821
10230070880
11108961726
1265072a54
1338885620
14227ad104
15152e923a
hexdb69a60

230070880 has 96 divisors (see below), whose sum is σ = 596683584. Its totient is φ = 83306496.

The previous prime is 230070859. The next prime is 230070887. The reversal of 230070880 is 88070032.

It is a happy number.

230070880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230070887) 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, 109197 + ... + 111283.

It is an arithmetic number, because the mean of its divisors is an integer number (6215454).

Almost surely, 2230070880 is an apocalyptic number.

230070880 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 230070880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298341792).

230070880 is an abundant number, since it is smaller than the sum of its proper divisors (366612704).

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

230070880 is a wasteful number, since it uses less digits than its factorization.

230070880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2168 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 230070880 is about 15168.0875524899. The cubic root of 230070880 is about 612.7554996806.

The spelling of 230070880 in words is "two hundred thirty million, seventy thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 53 65 80 104 106 130 160 208 212 260 265 416 424 520 530 689 848 1040 1060 1378 1696 2080 2087 2120 2756 3445 4174 4240 5512 6890 8348 8480 10435 11024 13780 16696 20870 22048 27131 27560 33392 41740 54262 55120 66784 83480 108524 110240 110611 135655 166960 217048 221222 271310 333920 434096 442444 542620 553055 868192 884888 1085240 1106110 1437943 1769776 2170480 2212220 2875886 3539552 4340960 4424440 5751772 7189715 8848880 11503544 14379430 17697760 23007088 28758860 46014176 57517720 115035440 230070880