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2022000002020 = 2254127140122691
BaseRepresentation
bin11101011011001000100…
…101111000001111100100
321011022010122201202012201
4131123020211320033210
5231112024000031040
64144521033224244
7266041021302445
oct35331045701744
97138118652181
102022000002020
1170a586318a39
12287a63862084
1311889b3b724b
146dc186312cc
15378e460ba9a
hex1d6c89783e4

2022000002020 has 96 divisors (see below), whose sum is σ = 4376896860672. Its totient is φ = 784166400000.

The previous prime is 2022000002017. The next prime is 2022000002039. The reversal of 2022000002020 is 202000002202.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2022000001988 and 2022000002006.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89098875 + ... + 89121565.

It is an arithmetic number, because the mean of its divisors is an integer number (45592675632).

Almost surely, 22022000002020 is an apocalyptic number.

2022000002020 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 2022000002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2188448430336).

2022000002020 is an abundant number, since it is smaller than the sum of its proper divisors (2354896858652).

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

2022000002020 is a wasteful number, since it uses less digits than its factorization.

2022000002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23413 (or 23411 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

Adding to 2022000002020 its reverse (202000002202), we get a palindrome (2224000004222).

The spelling of 2022000002020 in words is "two trillion, twenty-two billion, two thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 271 401 410 542 802 820 1084 1355 1604 2005 2710 4010 5420 8020 11111 16441 22222 22691 32882 44444 45382 55555 65764 82205 90764 108671 111110 113455 164410 217342 222220 226910 328820 434684 453820 543355 930331 1086710 1860662 2173420 3721324 4455511 4651655 6149261 8911022 9099091 9303310 12298522 17822044 18198182 18606620 22277555 24597044 30746305 36396364 44555110 45495455 61492610 89110220 90990910 122985220 181981820 252119701 373062731 504239402 746125462 1008478804 1260598505 1492250924 1865313655 2465853661 2521197010 3730627310 4931707322 5042394020 7461254620 9863414644 12329268305 24658536610 49317073220 101100000101 202200000202 404400000404 505500000505 1011000001010 2022000002020