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2022000010220 = 225414498236673
BaseRepresentation
bin11101011011001000100…
…101111010001111101100
321011022010122202011110102
4131123020211322033230
5231112024000311340
64144521033330232
7266041021335401
oct35331045721754
97138118664412
102022000010220
1170a586324113
12287a63866978
1311889b3babb8
146dc186342a8
15378e460e215
hex1d6c897a3ec

2022000010220 has 96 divisors (see below), whose sum is σ = 4365404668800. Its totient is φ = 786241290240.

The previous prime is 2022000010187. The next prime is 2022000010223. The reversal of 2022000010220 is 220100002202.

It is not an unprimeable number, because it can be changed into a prime (2022000010223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 303008804 + ... + 303015476.

It is an arithmetic number, because the mean of its divisors is an integer number (45472965300).

Almost surely, 22022000010220 is an apocalyptic number.

2022000010220 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 2022000010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2182702334400).

2022000010220 is an abundant number, since it is smaller than the sum of its proper divisors (2343404658580).

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

2022000010220 is a wasteful number, since it uses less digits than its factorization.

2022000010220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7995 (or 7993 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 2022000010220 its reverse (220100002202), we get a palindrome (2242100012422).

The spelling of 2022000010220 in words is "two trillion, twenty-two billion, ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 449 820 823 898 1646 1796 2245 3292 4115 4490 6673 8230 8980 13346 16460 18409 26692 33365 33743 36818 66730 67486 73636 92045 133460 134972 168715 184090 273593 337430 368180 369527 547186 674860 739054 1094372 1367965 1478108 1847635 2735930 2996177 3695270 5471860 5491879 5992354 7390540 10983758 11984708 14980885 15150607 21967516 27459395 29961770 30301214 54918790 59923540 60602428 75753035 109837580 122843257 151506070 225167039 245686514 303012140 450334078 491373028 614216285 900668156 1125835195 1228432570 2251670390 2456865140 2465853671 4503340780 4931707342 9863414684 12329268355 24658536710 49317073420 101100000511 202200001022 404400002044 505500002555 1011000005110 2022000010220