Search a number
-
+
2231102300 = 2252724310589
BaseRepresentation
bin1000010011111011…
…1110101101011100
312202111012201222112
42010332332231130
514032130233200
61005220133152
7106201025300
oct20476765534
95674181875
102231102300
11a454431a9
125232371b8
1329730129b
14172455d00
15d0d12535
hex84fbeb5c

2231102300 has 108 divisors (see below), whose sum is σ = 5763459240. Its totient is φ = 747089280.

The previous prime is 2231102299. The next prime is 2231102311. The reversal of 2231102300 is 32011322.

It is a happy number.

It is a super-3 number, since 3×22311023003 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 205406 + ... + 215994.

Almost surely, 22231102300 is an apocalyptic number.

2231102300 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 2231102300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2881729620).

2231102300 is an abundant number, since it is smaller than the sum of its proper divisors (3532356940).

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

2231102300 is a wasteful number, since it uses less digits than its factorization.

2231102300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10660 (or 10646 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2231102300 is about 47234.5456207636. The cubic root of 2231102300 is about 1306.6917866486.

Adding to 2231102300 its reverse (32011322), we get a palindrome (2263113622).

The spelling of 2231102300 in words is "two billion, two hundred thirty-one million, one hundred two thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 43 49 50 70 86 98 100 140 172 175 196 215 245 301 350 430 490 602 700 860 980 1075 1204 1225 1505 2107 2150 2450 3010 4214 4300 4900 6020 7525 8428 10535 10589 15050 21070 21178 30100 42140 42356 52675 52945 74123 105350 105890 148246 210700 211780 264725 296492 370615 455327 518861 529450 741230 910654 1037722 1058900 1482460 1821308 1853075 2075444 2276635 2594305 3187289 3706150 4553270 5188610 6374578 7412300 9106540 10377220 11383175 12749156 12971525 15936445 22311023 22766350 25943050 31872890 44622046 45532700 51886100 63745780 79682225 89244092 111555115 159364450 223110230 318728900 446220460 557775575 1115551150 2231102300