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22000355300022 = 2311310037274471
BaseRepresentation
bin1010000000010010110110…
…10111001101001010110110
32212220012202120212110121220
411000021123113031022312
510340423211424100042
6114442453530251210
74430321212360041
oct500113327151266
985805676773556
1022000355300022
117012331023000
122573996586b06
13c378173387b8
14560b73d97c58
1528242e1478ec
hex14025b5cd2b6

22000355300022 has 64 divisors (see below), whose sum is σ = 48402474075648. Its totient is φ = 6666085826400.

The previous prime is 22000355299889. The next prime is 22000355300039.

22000355300022 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×220003553000222 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22000355299965 and 22000355300001.

It is a congruent number.

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, 80018247 + ... + 80292717.

It is an arithmetic number, because the mean of its divisors is an integer number (756288657432).

Almost surely, 222000355300022 is an apocalyptic number.

22000355300022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22000355300022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24201237037824).

22000355300022 is an abundant number, since it is smaller than the sum of its proper divisors (26402118775626).

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

22000355300022 is a wasteful number, since it uses less digits than its factorization.

22000355300022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284546 (or 284524 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

It can be divided in two parts, 2200035 and 5300022, that added together give a palindrome (7500057).

The spelling of 22000355300022 in words is "twenty-two trillion, three hundred fifty-five million, three hundred thousand, twenty-two".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 1331 2662 3993 7986 10037 20074 30111 60222 110407 220814 274471 331221 548942 662442 823413 1214477 1646826 2428954 3019181 3643431 6038362 7286862 9057543 13359247 18115086 26718494 33210991 40077741 66421982 80155482 99632973 199265946 365320901 730641802 1095962703 2191925406 2754865427 5509730854 8264596281 16529192562 30303519697 60607039394 90910559091 181821118182 333338716667 666677433334 1000016150001 2000032300002 3666725883337 7333451766674 11000177650011 22000355300022