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221122222020 = 223257198788321
BaseRepresentation
bin1100110111101111101…
…0010101011111000100
3210010202101110201221200
43031323322111133010
512110324242101040
6245325424342500
721655420606140
oct3157372253704
9703671421850
10221122222020
1185860803237
1236a31474a30
1317b0c3583bb
14a9b944c220
155b429b5630
hex337be957c4

221122222020 has 144 divisors (see below), whose sum is σ = 766951506048. Its totient is φ = 50516213760.

The previous prime is 221122221997. The next prime is 221122222037. The reversal of 221122222020 is 20222221122.

221122222020 is a `hidden beast` number, since 221 + 1 + 222 + 220 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221122221984 and 221122222002.

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 47 ways as a sum of consecutive naturals, for example, 2459460 + ... + 2547780.

Almost surely, 2221122222020 is an apocalyptic number.

221122222020 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 221122222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383475753024).

221122222020 is an abundant number, since it is smaller than the sum of its proper divisors (545829284028).

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

221122222020 is a wasteful number, since it uses less digits than its factorization.

221122222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90330 (or 90325 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 221122222020 its reverse (20222221122), we get a palindrome (241344443142).

The spelling of 221122222020 in words is "two hundred twenty-one billion, one hundred twenty-two million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 1987 3974 5961 7948 9935 11922 13909 17883 19870 23844 27818 29805 35766 39740 41727 55636 59610 69545 71532 83454 88321 89415 119220 125181 139090 166908 176642 178830 208635 250362 264963 278180 353284 357660 417270 441605 500724 529926 618247 625905 794889 834540 883210 1059852 1236494 1251810 1324815 1589778 1766420 1854741 2472988 2503620 2649630 3091235 3179556 3709482 3974445 5299260 5564223 6182470 7418964 7948890 9273705 11128446 12364940 15897780 18547410 22256892 27821115 37094820 55642230 111284460 175493827 350987654 526481481 701975308 877469135 1052962962 1228456789 1579444443 1754938270 2105925924 2456913578 2632407405 3158888886 3509876540 3685370367 4913827156 5264814810 6142283945 6317777772 7370740734 7897222215 10529629620 11056111101 12284567890 14741481468 15794444430 18426851835 22112222202 24569135780 31588888860 36853703670 44224444404 55280555505 73707407340 110561111010 221122222020