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222220120212020 = 225710117581893903
BaseRepresentation
bin110010100001101110100111…
…010100111100001000110100
31002010211000222020221202211102
4302201232213110330020310
5213111323301233241040
62104342303000425232
764543605510641660
oct6241564724741064
91063730866852742
10222220120212020
1164896029658467
1220b0b8b8778218
1396cc3626a0338
143cc3722a6b8a0
151aa56c693b515
hexca1ba753c234

222220120212020 has 96 divisors (see below), whose sum is σ = 538640005026816. Its totient is φ = 75431026368000.

The previous prime is 222220120212017. The next prime is 222220120212023. The reversal of 222220120212020 is 20212021022222.

It is an interprime number because it is at equal distance from previous prime (222220120212017) and next prime (222220120212023).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 222220120211983 and 222220120212001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222220120212023) 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, 248148389 + ... + 249042291.

It is an arithmetic number, because the mean of its divisors is an integer number (5610833385696).

Almost surely, 2222220120212020 is an apocalyptic number.

222220120212020 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 222220120212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269320002513408).

222220120212020 is an abundant number, since it is smaller than the sum of its proper divisors (316419884814796).

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

222220120212020 is a wasteful number, since it uses less digits than its factorization.

222220120212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911601 (or 911599 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 222220120212020 its reverse (20212021022222), we get a palindrome (242432141234242).

The spelling of 222220120212020 in words is "two hundred twenty-two trillion, two hundred twenty billion, one hundred twenty million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 101 140 202 404 505 707 1010 1414 2020 2828 3535 7070 14140 17581 35162 70324 87905 123067 175810 246134 351620 492268 615335 893903 1230670 1775681 1787806 2461340 3551362 3575612 4469515 6257321 7102724 8878405 8939030 12429767 12514642 17756810 17878060 24859534 25029284 31286605 35513620 49719068 62148835 62573210 90284203 124297670 125146420 180568406 248595340 361136812 451421015 631989421 902842030 1263978842 1805684060 2527957684 3159947105 6319894210 12639788420 15715708643 31431417286 62862834572 78578543215 110009960501 157157086430 220019921002 314314172860 440039842004 550049802505 1100099605010 1587286572943 2200199210020 3174573145886 6349146291772 7936432864715 11111006010601 15872865729430 22222012021202 31745731458860 44444024042404 55555030053005 111110060106010 222220120212020