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22221000012020 = 22543563388911801
BaseRepresentation
bin1010000110101101110101…
…10011111111000011110100
32220200022021200211011222012
411003112322303333003310
510403032102000341040
6115132104140223352
74452262044441545
oct503267263770364
986608250734865
1022221000012020
11709796722a957
1225aa6b3b3ab58
13c5257b784694
1456b705c264cc
15288044c38865
hex1435bacff0f4

22221000012020 has 96 divisors (see below), whose sum is σ = 47850478220160. Its totient is φ = 8663310028800.

The previous prime is 22221000012019. The next prime is 22221000012049. The reversal of 22221000012020 is 2021000012222.

It is a junction number, because it is equal to n+sod(n) for n = 22221000011986 and 22221000012004.

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, 1882970120 + ... + 1882981920.

It is an arithmetic number, because the mean of its divisors is an integer number (498442481460).

Almost surely, 222221000012020 is an apocalyptic number.

22221000012020 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 22221000012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23925239110080).

22221000012020 is an abundant number, since it is smaller than the sum of its proper divisors (25629478208140).

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

22221000012020 is a wasteful number, since it uses less digits than its factorization.

22221000012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16305 (or 16303 counting only the distinct ones).

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

Adding to 22221000012020 its reverse (2021000012222), we get a palindrome (24242000024242).

The spelling of 22221000012020 in words is "twenty-two trillion, two hundred twenty-one billion, twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 563 860 1126 2252 2815 3889 5630 7778 11260 11801 15556 19445 23602 24209 38890 47204 48418 59005 77780 96836 118010 121045 167227 236020 242090 334454 484180 507443 668908 836135 1014886 1672270 2029772 2189507 2537215 3344540 4379014 5074430 6643963 8758028 10148860 10947535 13287926 21895070 26575852 33219815 43790140 45894089 66439630 91788178 94148801 132879260 183576356 188297602 229470445 285690409 376595204 458940890 470744005 571380818 917881780 941488010 1142761636 1428452045 1882976020 1973445827 2856904090 3946891654 5713808180 7893783308 9867229135 19734458270 25838372107 39468916540 51676744214 103353488428 129191860535 258383721070 516767442140 1111050000601 2222100001202 4444200002404 5555250003005 11110500006010 22221000012020