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230778480 = 24359531009
BaseRepresentation
bin11011100000101…
…10011001110000
3121002020202120010
431300112121300
5433034402410
634522214520
75501404362
oct1560263160
9532222503
10230778480
111092a5319
1265354440
1338a7271a
1422914d32
15153d8c20
hexdc16670

230778480 has 80 divisors (see below), whose sum is σ = 716873760. Its totient is φ = 61415424.

The previous prime is 230778479. The next prime is 230778511. The reversal of 230778480 is 84877032.

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

It is a super-2 number, since 2×2307784802 = 106517413662220800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228216 + ... + 229224.

It is an arithmetic number, because the mean of its divisors is an integer number (8960922).

Almost surely, 2230778480 is an apocalyptic number.

230778480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230778480 is an abundant number, since it is smaller than the sum of its proper divisors (486095280).

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

230778480 is a wasteful number, since it uses less digits than its factorization.

230778480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1978 (or 1972 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 230778480 is about 15191.3949326584. The cubic root of 230778480 is about 613.3830483751.

The spelling of 230778480 in words is "two hundred thirty million, seven hundred seventy-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 953 1009 1906 2018 2859 3027 3812 4036 4765 5045 5718 6054 7624 8072 9530 10090 11436 12108 14295 15135 15248 16144 19060 20180 22872 24216 28590 30270 38120 40360 45744 48432 57180 60540 76240 80720 114360 121080 228720 242160 961577 1923154 2884731 3846308 4807885 5769462 7692616 9615770 11538924 14423655 15385232 19231540 23077848 28847310 38463080 46155696 57694620 76926160 115389240 230778480