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2230231200 = 253521635701
BaseRepresentation
bin1000010011101110…
…1010000010100000
312202102120111001120
42010323222002200
514031414344300
61005145332240
7106160436531
oct20473520240
95672514046
102230231200
11a449a878a
12522a97080
13297087942
141722aa688
15d0bde3a0
hex84eea0a0

2230231200 has 144 divisors (see below), whose sum is σ = 7305219936. Its totient is φ = 590976000.

The previous prime is 2230231147. The next prime is 2230231217. The reversal of 2230231200 is 21320322.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2230231200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 388350 + ... + 394050.

It is an arithmetic number, because the mean of its divisors is an integer number (50730694).

Almost surely, 22230231200 is an apocalyptic number.

2230231200 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 2230231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3652609968).

2230231200 is an abundant number, since it is smaller than the sum of its proper divisors (5074988736).

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

2230231200 is a wasteful number, since it uses less digits than its factorization.

2230231200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5887 (or 5874 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2230231200 is about 47225.3237151425. The cubic root of 2230231200 is about 1306.5217051921.

Adding to 2230231200 its reverse (21320322), we get a palindrome (2251551522).

The spelling of 2230231200 in words is "two billion, two hundred thirty million, two hundred thirty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 163 200 240 300 326 400 480 489 600 652 800 815 978 1200 1304 1630 1956 2400 2445 2608 3260 3912 4075 4890 5216 5701 6520 7824 8150 9780 11402 12225 13040 15648 16300 17103 19560 22804 24450 26080 28505 32600 34206 39120 45608 48900 57010 65200 68412 78240 85515 91216 97800 114020 130400 136824 142525 171030 182432 195600 228040 273648 285050 342060 391200 427575 456080 547296 570100 684120 855150 912160 929263 1140200 1368240 1710300 1858526 2280400 2736480 2787789 3420600 3717052 4560800 4646315 5575578 6841200 7434104 9292630 11151156 13682400 13938945 14868208 18585260 22302312 23231575 27877890 29736416 37170520 44604624 46463150 55755780 69694725 74341040 89209248 92926300 111511560 139389450 148682080 185852600 223023120 278778900 371705200 446046240 557557800 743410400 1115115600 2230231200