Search a number
-
+
220212030300 = 2235223263121349
BaseRepresentation
bin1100110100010110101…
…0001110101101011100
3210001101221210012122020
43031011222032231130
512101443234432200
6245055232020140
721624026242023
oct3150552165534
9701357705566
10220212030300
1185433a4a779
1236818691650
13179c5903b12
14a9305db8ba
155adcb23ea0
hex3345a8eb5c

220212030300 has 144 divisors (see below), whose sum is σ = 667382284800. Its totient is φ = 55955989760.

The previous prime is 220212030281. The next prime is 220212030319. The reversal of 220212030300 is 3030212022.

220212030300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (220212030281) and next prime (220212030319).

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 220212030300.

It is a congruent number.

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, 1754026 + ... + 1875374.

It is an arithmetic number, because the mean of its divisors is an integer number (4634599200).

Almost surely, 2220212030300 is an apocalyptic number.

220212030300 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 220212030300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333691142400).

220212030300 is an abundant number, since it is smaller than the sum of its proper divisors (447170254500).

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

220212030300 is a wasteful number, since it uses less digits than its factorization.

220212030300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121652 (or 121645 counting only the distinct ones).

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

Adding to 220212030300 its reverse (3030212022), we get a palindrome (223242242322).

The spelling of 220212030300 in words is "two hundred twenty billion, two hundred twelve million, thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 263 276 300 345 460 526 575 690 789 1052 1150 1315 1380 1578 1725 2300 2630 3156 3450 3945 5260 6049 6575 6900 7890 12098 13150 15780 18147 19725 24196 26300 30245 36294 39450 60490 72588 78900 90735 120980 121349 151225 181470 242698 302450 362940 364047 453675 485396 604900 606745 728094 907350 1213490 1456188 1814700 1820235 2426980 2791027 3033725 3640470 5582054 6067450 7280940 8373081 9101175 11164108 12134900 13955135 16746162 18202350 27910270 31914787 33492324 36404700 41865405 55820540 63829574 69775675 83730810 95744361 127659148 139551350 159573935 167461620 191488722 209327025 279102700 319147870 382977444 418654050 478721805 638295740 734040101 797869675 837308100 957443610 1468080202 1595739350 1914887220 2202120303 2393609025 2936160404 3191478700 3670200505 4404240606 4787218050 7340401010 8808481212 9574436100 11010601515 14680802020 18351002525 22021203030 36702005050 44042406060 55053007575 73404010100 110106015150 220212030300