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230804480 = 210561739
BaseRepresentation
bin11011100000111…
…00110000000000
3121002022002020002
431300130300000
5433041220410
634522535132
75501543234
oct1560346000
9532262202
10230804480
11109312905
12653674a8
1338a814ca
14229205c4
15153e17a5
hexdc1cc00

230804480 has 88 divisors (see below), whose sum is σ = 563498160. Its totient is φ = 90685440.

The previous prime is 230804479. The next prime is 230804507. The reversal of 230804480 is 84408032.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 311951 + ... + 312689.

Almost surely, 2230804480 is an apocalyptic number.

230804480 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 230804480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281749080).

230804480 is an abundant number, since it is smaller than the sum of its proper divisors (332693680).

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

230804480 is an equidigital number, since it uses as much as digits as its factorization.

230804480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 230804480 is about 15192.2506561734. The cubic root of 230804480 is about 613.4060825280.

The spelling of 230804480 in words is "two hundred thirty million, eight hundred four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 128 160 244 256 305 320 488 512 610 640 739 976 1024 1220 1280 1478 1952 2440 2560 2956 3695 3904 4880 5120 5912 7390 7808 9760 11824 14780 15616 19520 23648 29560 31232 39040 45079 47296 59120 62464 78080 90158 94592 118240 156160 180316 189184 225395 236480 312320 360632 378368 450790 472960 721264 756736 901580 945920 1442528 1803160 1891840 2885056 3606320 3783680 5770112 7212640 11540224 14425280 23080448 28850560 46160896 57701120 115402240 230804480