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2022220204400 = 245211766959929
BaseRepresentation
bin11101011011010101101…
…101111000100101110000
321011022201000002012002102
4131123111231320211300
5231113001333020100
64144554541035532
7266046334061054
oct35332555704560
97138630065072
102022220204400
1170a68964a280
12287b05555ba8
13118904bc5b06
146dc39991c64
1537908b06cd5
hex1d6d5b78970

2022220204400 has 120 divisors (see below), whose sum is σ = 5300834869200. Its totient is φ = 735244646400.

The previous prime is 2022220204393. The next prime is 2022220204439. The reversal of 2022220204400 is 44020222202.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 33713636 + ... + 33773564.

It is an arithmetic number, because the mean of its divisors is an integer number (44173623910).

Almost surely, 22022220204400 is an apocalyptic number.

2022220204400 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 2022220204400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2650417434600).

2022220204400 is an abundant number, since it is smaller than the sum of its proper divisors (3278614664800).

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

2022220204400 is a wasteful number, since it uses less digits than its factorization.

2022220204400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67627 (or 67616 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 2022220204400 its reverse (44020222202), we get a palindrome (2066240426602).

The spelling of 2022220204400 in words is "two trillion, twenty-two billion, two hundred twenty million, two hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 7669 15338 30676 38345 59929 61352 76690 84359 119858 122704 153380 168718 191725 239716 299645 306760 337436 383450 421795 479432 599290 613520 659219 674872 766900 843590 958864 1198580 1318438 1349744 1498225 1533800 1687180 2108975 2397160 2636876 2996450 3067600 3296095 3374360 4217950 4794320 5273752 5992900 6592190 6748720 8435900 10547504 11985800 13184380 16480475 16871800 23971600 26368760 32960950 33743600 52737520 65921900 131843800 263687600 459595501 919191002 1838382004 2297977505 3676764008 4595955010 5055550511 7353528016 9191910020 10111101022 11489887525 18383820040 20222202044 22979775050 25277752555 36767640080 40444404088 45959550100 50555505110 80888808176 91919100200 101111010220 126388762775 183838200400 202222020440 252777525550 404444040880 505555051100 1011110102200 2022220204400