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2222010001220 = 2251762291049177
BaseRepresentation
bin100000010101011010000…
…111011110011101000100
321212102101200211110000212
4200111122013132131010
5242401134030014340
64420435521454552
7316351323243602
oct40253207363504
97772350743025
102222010001220
11787392799739
122ba7827a1458
131316c47c77b9
147978db96872
153cbed8a8a65
hex2055a1de744

2222010001220 has 48 divisors (see below), whose sum is σ = 4941502478640. Its totient is φ = 836386320384.

The previous prime is 2222010001187. The next prime is 2222010001223. The reversal of 2222010001220 is 221000102222.

It can be written as a sum of positive squares in 8 ways, for example, as 291377562436 + 1930632438784 = 539794^2 + 1389472^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2222010001195 and 2222010001204.

It is not an unprimeable number, because it can be changed into a prime (2222010001223) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1593272 + ... + 2642448.

It is an arithmetic number, because the mean of its divisors is an integer number (102947968305).

Almost surely, 22222010001220 is an apocalyptic number.

2222010001220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2222010001220 is an abundant number, since it is smaller than the sum of its proper divisors (2719492477420).

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

2222010001220 is a wasteful number, since it uses less digits than its factorization.

2222010001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055432 (or 1055430 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2222010001220 its reverse (221000102222), we get a palindrome (2443010103442).

The spelling of 2222010001220 in words is "two trillion, two hundred twenty-two billion, ten million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 6229 12458 24916 31145 62290 105893 124580 211786 423572 529465 1049177 1058930 2098354 2117860 4196708 5245885 10491770 17836009 20983540 35672018 71344036 89180045 178360090 356720180 6535323533 13070647066 26141294132 32676617665 65353235330 111100500061 130706470660 222201000122 444402000244 555502500305 1111005000610 2222010001220