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20220221120 = 2651144312967
BaseRepresentation
bin10010110101001110…
…000001011011000000
31221012011220122211112
4102311032001123000
5312402334033440
613142233302452
71314035020661
oct226516013300
957164818745
1020220221120
118636873450
123b03864a28
131ba31c1ba8
14d9b64d368
157d526b965
hex4b53816c0

20220221120 has 112 divisors (see below), whose sum is σ = 52649250048. Its totient is φ = 7335644160.

The previous prime is 20220221089. The next prime is 20220221129. The reversal of 20220221120 is 2112202202.

It is a junction number, because it is equal to n+sod(n) for n = 20220221095 and 20220221104.

It is not an unprimeable number, because it can be changed into a prime (20220221129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1552877 + ... + 1565843.

Almost surely, 220220221120 is an apocalyptic number.

20220221120 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 20220221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26324625024).

20220221120 is an abundant number, since it is smaller than the sum of its proper divisors (32429028928).

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

20220221120 is a wasteful number, since it uses less digits than its factorization.

20220221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13438 (or 13428 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 20220221120 its reverse (2112202202), we get a palindrome (22332423322).

It can be divided in two parts, 202202 and 21120, that added together give a palindrome (223322).

The spelling of 20220221120 in words is "twenty billion, two hundred twenty million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 443 704 880 886 1760 1772 2215 3520 3544 4430 4873 7088 8860 9746 12967 14176 17720 19492 24365 25934 28352 35440 38984 48730 51868 64835 70880 77968 97460 103736 129670 141760 142637 155936 194920 207472 259340 285274 311872 389840 414944 518680 570548 713185 779680 829888 1037360 1141096 1426370 1559360 2074720 2282192 2852740 4149440 4564384 5705480 5744381 9128768 11410960 11488762 22821920 22977524 28721905 45643840 45955048 57443810 63188191 91910096 114887620 126376382 183820192 229775240 252752764 315940955 367640384 459550480 505505528 631881910 919100960 1011011056 1263763820 1838201920 2022022112 2527527640 4044044224 5055055280 10110110560 20220221120