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22001122020 = 22352922356701
BaseRepresentation
bin10100011111010111…
…100111101011100100
32002210021222210121010
4110133113213223210
5330024241401040
614035052222220
71406131310613
oct243727475344
962707883533
1022001122020
119370072679
12432016a970
1320c81558c7
1410c9d9387a
1588b7a0e80
hex51f5e7ae4

22001122020 has 96 divisors (see below), whose sum is σ = 64014289920. Its totient is φ = 5639155200.

The previous prime is 22001122019. The next prime is 22001122051. The reversal of 22001122020 is 2022110022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 22001121987 and 22001122005.

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, 359670 + ... + 416370.

It is an arithmetic number, because the mean of its divisors is an integer number (666815520).

Almost surely, 222001122020 is an apocalyptic number.

22001122020 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 22001122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32007144960).

22001122020 is an abundant number, since it is smaller than the sum of its proper divisors (42013167900).

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

22001122020 is a wasteful number, since it uses less digits than its factorization.

22001122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56965 (or 56963 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 22001122020 its reverse (2022110022), we get a palindrome (24023232042).

The spelling of 22001122020 in words is "twenty-two billion, one million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 223 290 348 435 446 580 669 870 892 1115 1338 1740 2230 2676 3345 4460 6467 6690 12934 13380 19401 25868 32335 38802 56701 64670 77604 97005 113402 129340 170103 194010 226804 283505 340206 388020 567010 680412 850515 1134020 1644329 1701030 3288658 3402060 4932987 6577316 8221645 9865974 12644323 16443290 19731948 24664935 25288646 32886580 37932969 49329870 50577292 63221615 75865938 98659740 126443230 151731876 189664845 252886460 366685367 379329690 733370734 758659380 1100056101 1466741468 1833426835 2200112202 3666853670 4400224404 5500280505 7333707340 11000561010 22001122020