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2220012300 = 22352113121701
BaseRepresentation
bin1000010001010010…
…1011001100001100
312201201100022100210
42010110223030030
514021310343200
61004142322420
7106004536032
oct20424531414
95651308323
102220012300
11a3a159110
1251b589410
13294c1a55c
14170baa552
15ced71650
hex8452b30c

2220012300 has 144 divisors (see below), whose sum is σ = 7233537024. Its totient is φ = 520800000.

The previous prime is 2220012257. The next prime is 2220012317. The reversal of 2220012300 is 32100222.

It is a super-2 number, since 2×22200123002 = 9856909224302580000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 91450 + ... + 113150.

It is an arithmetic number, because the mean of its divisors is an integer number (50232896).

Almost surely, 22220012300 is an apocalyptic number.

2220012300 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 2220012300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3616768512).

2220012300 is an abundant number, since it is smaller than the sum of its proper divisors (5013524724).

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

2220012300 is a wasteful number, since it uses less digits than its factorization.

2220012300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21760 (or 21753 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2220012300 is about 47117.0064838589. The cubic root of 2220012300 is about 1304.5231592660.

Adding to 2220012300 its reverse (32100222), we get a palindrome (2252112522).

The spelling of 2220012300 in words is "two billion, two hundred twenty million, twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 31 33 44 50 55 60 62 66 75 93 100 110 124 132 150 155 165 186 220 275 300 310 330 341 372 465 550 620 660 682 775 825 930 1023 1100 1364 1550 1650 1705 1860 2046 2325 3100 3300 3410 4092 4650 5115 6820 8525 9300 10230 17050 20460 21701 25575 34100 43402 51150 65103 86804 102300 108505 130206 217010 238711 260412 325515 434020 477422 542525 651030 672731 716133 954844 1085050 1193555 1302060 1345462 1432266 1627575 2018193 2170100 2387110 2690924 2864532 3255150 3363655 3580665 4036386 4774220 5967775 6510300 6727310 7161330 7400041 8072772 10090965 11935550 13454620 14322660 14800082 16818275 17903325 20181930 22200123 23871100 29600164 33636550 35806650 37000205 40363860 44400246 50454825 67273100 71613300 74000410 88800492 100909650 111000615 148000820 185001025 201819300 222001230 370002050 444002460 555003075 740004100 1110006150 2220012300