Search a number
-
+
3100223250 = 232532947513
BaseRepresentation
bin1011100011001001…
…1010011100010010
322000001121122210100
42320302122130102
522322124121000
61231344313230
7136553314515
oct27062323422
98001548710
103100223250
111350aa4683
12726312816
133a53a5837
14215a54d7c
1513228ea00
hexb8c9a712

3100223250 has 96 divisors (see below), whose sum is σ = 8672255280. Its totient is φ = 798201600.

The previous prime is 3100223233. The next prime is 3100223311. The reversal of 3100223250 is 523220013.

It can be written as a sum of positive squares in 8 ways, for example, as 6305121 + 3093918129 = 2511^2 + 55623^2 .

It is a super-2 number, since 2×31002232502 = 19222768399681125000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41494 + ... + 89006.

Almost surely, 23100223250 is an apocalyptic number.

3100223250 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3100223250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4336127640).

3100223250 is an abundant number, since it is smaller than the sum of its proper divisors (5572032030).

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

3100223250 is a wasteful number, since it uses less digits than its factorization.

3100223250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47565 (or 47552 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 3100223250 is about 55679.6484363901. The cubic root of 3100223250 is about 1458.1347372194.

Adding to 3100223250 its reverse (523220013), we get a palindrome (3623443263).

The spelling of 3100223250 in words is "three billion, one hundred million, two hundred twenty-three thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 29 30 45 50 58 75 87 90 125 145 150 174 225 250 261 290 375 435 450 522 725 750 870 1125 1305 1450 2175 2250 2610 3625 4350 6525 7250 10875 13050 21750 32625 47513 65250 95026 142539 237565 285078 427617 475130 712695 855234 1187825 1377877 1425390 2138085 2375650 2755754 3563475 4133631 4276170 5939125 6889385 7126950 8267262 10690425 11878250 12400893 13778770 17817375 20668155 21380850 24801786 34446925 35634750 41336310 53452125 62004465 68893850 103340775 106904250 124008930 172234625 206681550 310022325 344469250 516703875 620044650 1033407750 1550111625 3100223250