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230557320 = 23335730497
BaseRepresentation
bin11011011111000…
…00011010001000
3121001211112012000
431233200122020
5433010313240
634513351000
75466463530
oct1557403210
9531745160
10230557320
11109164144
1265268460
13389c5b66
14228984c0
1515393430
hexdbe0688

230557320 has 128 divisors (see below), whose sum is σ = 878342400. Its totient is φ = 52697088.

The previous prime is 230557319. The next prime is 230557321. The reversal of 230557320 is 23755032.

It is an interprime number because it is at equal distance from previous prime (230557319) and next prime (230557321).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (230557321) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7689 + ... + 22808.

It is an arithmetic number, because the mean of its divisors is an integer number (6862050).

Almost surely, 2230557320 is an apocalyptic number.

230557320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230557320 is an abundant number, since it is smaller than the sum of its proper divisors (647785080).

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

230557320 is a wasteful number, since it uses less digits than its factorization.

230557320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30524 (or 30514 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The square root of 230557320 is about 15184.1140670110. The cubic root of 230557320 is about 613.1870463446.

The spelling of 230557320 in words is "two hundred thirty million, five hundred fifty-seven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 7560 30497 60994 91491 121988 152485 182982 213479 243976 274473 304970 365964 426958 457455 548946 609940 640437 731928 823419 853916 914910 1067395 1097892 1219880 1280874 1372365 1646838 1707832 1829820 1921311 2134790 2195784 2561748 2744730 3202185 3293676 3659640 3842622 4117095 4269580 5123496 5489460 5763933 6404370 6587352 7685244 8234190 8539160 9606555 10978920 11527866 12808740 15370488 16468380 19213110 23055732 25617480 28819665 32936760 38426220 46111464 57639330 76852440 115278660 230557320