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221222020020 = 223543647132527
BaseRepresentation
bin1100111000000111011…
…1000010001110110100
3210011000100021000001220
43032001313002032310
512111030314120040
6245343351350340
721661042100331
oct3160167021664
9704010230056
10221222020020
1185902076a21
1236a5a9823b0
1317b26c2ac81
14a9c87c9988
155b4b62a2d0
hex3381dc23b4

221222020020 has 96 divisors (see below), whose sum is σ = 634811240448. Its totient is φ = 57531126912.

The previous prime is 221222020003. The next prime is 221222020021. The reversal of 221222020020 is 20020222122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221222020021) 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, 1602997 + ... + 1735523.

It is an arithmetic number, because the mean of its divisors is an integer number (6612617088).

Almost surely, 2221222020020 is an apocalyptic number.

221222020020 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 221222020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317405620224).

221222020020 is an abundant number, since it is smaller than the sum of its proper divisors (413589220428).

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

221222020020 is a wasteful number, since it uses less digits than its factorization.

221222020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133229 (or 133227 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 221222020020 its reverse (20020222122), we get a palindrome (241242242142).

The spelling of 221222020020 in words is "two hundred twenty-one billion, two hundred twenty-two million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 647 860 1290 1294 1941 2580 2588 3235 3882 6470 7764 9705 12940 19410 27821 38820 55642 83463 111284 132527 139105 166926 265054 278210 333852 397581 417315 530108 556420 662635 795162 834630 1325270 1590324 1669260 1987905 2650540 3975810 5698661 7951620 11397322 17095983 22794644 28493305 34191966 56986610 68383932 85479915 85744969 113973220 170959830 171489938 257234907 341919660 342979876 428724845 514469814 857449690 1028939628 1286174535 1714899380 2572349070 3687033667 5144698140 7374067334 11061101001 14748134668 18435168335 22122202002 36870336670 44244404004 55305505005 73740673340 110611010010 221222020020