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230806380 = 223572323893
BaseRepresentation
bin11011100000111…
…01001101101100
3121002022011211110
431300131031230
5433041301010
634522552020
75501551620
oct1560351554
9532264743
10230806380
11109314282
1265368610
1338a8232c
1422921180
15153e2120
hexdc1d36c

230806380 has 96 divisors (see below), whose sum is σ = 770724864. Its totient is φ = 50459904.

The previous prime is 230806379. The next prime is 230806391. The reversal of 230806380 is 83608032.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2287 + ... + 21606.

It is an arithmetic number, because the mean of its divisors is an integer number (8028384).

Almost surely, 2230806380 is an apocalyptic number.

230806380 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 230806380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385362432).

230806380 is an abundant number, since it is smaller than the sum of its proper divisors (539918484).

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

230806380 is a wasteful number, since it uses less digits than its factorization.

230806380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23935 (or 23933 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 230806380 is about 15192.3131879250. The cubic root of 230806380 is about 613.4077657252.

The spelling of 230806380 in words is "two hundred thirty million, eight hundred six thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 23 28 30 35 42 46 60 69 70 84 92 105 115 138 140 161 210 230 276 322 345 420 460 483 644 690 805 966 1380 1610 1932 2415 3220 4830 9660 23893 47786 71679 95572 119465 143358 167251 238930 286716 334502 358395 477860 501753 549539 669004 716790 836255 1003506 1099078 1433580 1648617 1672510 2007012 2198156 2508765 2747695 3297234 3345020 3846773 5017530 5495390 6594468 7693546 8243085 10035060 10990780 11540319 15387092 16486170 19233865 23080638 32972340 38467730 46161276 57701595 76935460 115403190 230806380