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2122222133020 = 225111731963457
BaseRepresentation
bin11110111000011110010…
…010111101111100011100
321111212211022100111220111
4132320132102331330130
5234232302331224040
64302534013255404
7306216433331263
oct36703622757434
97455738314814
102122222133020
11749036082380
122a3373a94564
13125180c2c342
1474a04d955da
153a30d0c2dea
hex1ee1e4bdf1c

2122222133020 has 96 divisors (see below), whose sum is σ = 5165622383040. Its totient is φ = 726321643520.

The previous prime is 2122222132949. The next prime is 2122222133021. The reversal of 2122222133020 is 203312222212.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2122222132982 and 2122222133000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122222133021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99132 + ... + 2062588.

It is an arithmetic number, because the mean of its divisors is an integer number (53808566490).

Almost surely, 22122222133020 is an apocalyptic number.

2122222133020 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 2122222133020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2582811191520).

2122222133020 is an abundant number, since it is smaller than the sum of its proper divisors (3043400250020).

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

2122222133020 is a wasteful number, since it uses less digits than its factorization.

2122222133020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1963528 (or 1963492 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 2122222133020 its reverse (203312222212), we get a palindrome (2325534355232).

The spelling of 2122222133020 in words is "two trillion, one hundred twenty-two billion, two hundred twenty-two million, one hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 289 340 374 578 748 935 1156 1445 1870 2890 3179 3740 4913 5780 6358 9826 12716 15895 19652 24565 31790 49130 54043 63580 98260 108086 216172 270215 540430 1080860 1963457 3926914 7853828 9817285 19634570 21598027 33378769 39269140 43196054 66757538 86392108 107990135 133515076 166893845 215980270 333787690 367166459 431960540 567439073 667575380 734332918 1134878146 1468665836 1835832295 2269756292 2837195365 3671664590 5674390730 6241829803 7343329180 9646464241 11348781460 12483659606 19292928482 24967319212 31209149015 38585856964 48232321205 62418298030 96464642410 106111106651 124836596060 192929284820 212222213302 424444426604 530555533255 1061111066510 2122222133020