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230722080 = 25352292099
BaseRepresentation
bin11011100000010…
…00101000100000
3121002010220012020
431300020220200
5433031101310
634521101440
75501051061
oct1560105040
9532126166
10230722080
11109266a06
1265327880
1338a52b54
14228dc568
15153c7170
hexdc08a20

230722080 has 96 divisors (see below), whose sum is σ = 730296000. Its totient is φ = 61228032.

The previous prime is 230722061. The next prime is 230722081. The reversal of 230722080 is 80227032.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 230722080.

It is not an unprimeable number, because it can be changed into a prime (230722081) 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, 108871 + ... + 110969.

It is an arithmetic number, because the mean of its divisors is an integer number (7607250).

Almost surely, 2230722080 is an apocalyptic number.

230722080 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 230722080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365148000).

230722080 is an abundant number, since it is smaller than the sum of its proper divisors (499573920).

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

230722080 is a wasteful number, since it uses less digits than its factorization.

230722080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2346 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 230722080 is about 15189.5385051686. The cubic root of 230722080 is about 613.3330760343. Note that the first 3 decimals are identical.

It can be divided in two parts, 23072 and 2080, that added together give a palindrome (25152).

The spelling of 230722080 in words is "two hundred thirty million, seven hundred twenty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 229 240 458 480 687 916 1145 1374 1832 2099 2290 2748 3435 3664 4198 4580 5496 6297 6870 7328 8396 9160 10495 10992 12594 13740 16792 18320 20990 21984 25188 27480 31485 33584 36640 41980 50376 54960 62970 67168 83960 100752 109920 125940 167920 201504 251880 335840 480671 503760 961342 1007520 1442013 1922684 2403355 2884026 3845368 4806710 5768052 7210065 7690736 9613420 11536104 14420130 15381472 19226840 23072208 28840260 38453680 46144416 57680520 76907360 115361040 230722080