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2231022300 = 22352133715461
BaseRepresentation
bin1000010011111010…
…1011001011011100
312202111001200020120
42010332223023130
514032120203200
61005214314540
7106200243123
oct20476531334
95674050216
102231022300
11a45399091
125231b8a50
132972a3a50
14172434aba
15d0ce89a0
hex84fab2dc

2231022300 has 144 divisors (see below), whose sum is σ = 7139980512. Its totient is φ = 534297600.

The previous prime is 2231022271. The next prime is 2231022307. The reversal of 2231022300 is 32201322.

It is a super-3 number, since 3×22310223003 (a number of 29 digits) contains 333 as substring.

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 2231022300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2231022307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136570 + ... + 152030.

It is an arithmetic number, because the mean of its divisors is an integer number (49583198).

Almost surely, 22231022300 is an apocalyptic number.

2231022300 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 2231022300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3569990256).

2231022300 is an abundant number, since it is smaller than the sum of its proper divisors (4908958212).

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

2231022300 is a wasteful number, since it uses less digits than its factorization.

2231022300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15528 (or 15521 counting only the distinct ones).

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

The square root of 2231022300 is about 47233.6987753447. The cubic root of 2231022300 is about 1306.6761685701.

Adding to 2231022300 its reverse (32201322), we get a palindrome (2263223622).

It can be divided in two parts, 2231022 and 300, that added together give a palindrome (2231322).

The spelling of 2231022300 in words is "two billion, two hundred thirty-one million, twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 37 39 50 52 60 65 74 75 78 100 111 130 148 150 156 185 195 222 260 300 325 370 390 444 481 555 650 740 780 925 962 975 1110 1300 1443 1850 1924 1950 2220 2405 2775 2886 3700 3900 4810 5550 5772 7215 9620 11100 12025 14430 15461 24050 28860 30922 36075 46383 48100 61844 72150 77305 92766 144300 154610 185532 200993 231915 309220 386525 401986 463830 572057 602979 773050 803972 927660 1004965 1144114 1159575 1205958 1546100 1716171 2009930 2288228 2319150 2411916 2860285 3014895 3432342 4019860 4638300 5024825 5720570 6029790 6864684 7436741 8580855 10049650 11441140 12059580 14301425 14873482 15074475 17161710 20099300 22310223 28602850 29746964 30148950 34323420 37183705 42904275 44620446 57205700 60297900 74367410 85808550 89240892 111551115 148734820 171617100 185918525 223102230 371837050 446204460 557755575 743674100 1115511150 2231022300