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221010222020 = 225741101381223
BaseRepresentation
bin1100110111010100111…
…1000101101111000100
3210010110120201112211112
43031311033011233010
512110112104101040
6245310344024152
721652560614420
oct3156517055704
9703416645745
10221010222020
1185803565a55
12369bba62058
1317ac20a2903
14a9a8615b80
155b37c40365
hex33753c5bc4

221010222020 has 96 divisors (see below), whose sum is σ = 548742974976. Its totient is φ = 73194624000.

The previous prime is 221010221987. The next prime is 221010222023. The reversal of 221010222020 is 20222010122.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 221010221986 and 221010222004.

It is not an unprimeable number, because it can be changed into a prime (221010222023) 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, 389129 + ... + 770351.

It is an arithmetic number, because the mean of its divisors is an integer number (5716072656).

Almost surely, 2221010222020 is an apocalyptic number.

221010222020 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 221010222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274371487488).

221010222020 is an abundant number, since it is smaller than the sum of its proper divisors (327732752956).

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

221010222020 is a wasteful number, since it uses less digits than its factorization.

221010222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381381 (or 381379 counting only the distinct ones).

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

Adding to 221010222020 its reverse (20222010122), we get a palindrome (241232232142).

The spelling of 221010222020 in words is "two hundred twenty-one billion, ten million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 101 140 164 202 205 287 404 410 505 574 707 820 1010 1148 1414 1435 2020 2828 2870 3535 4141 5740 7070 8282 14140 16564 20705 28987 41410 57974 82820 115948 144935 289870 381223 579740 762446 1524892 1906115 2668561 3812230 5337122 7624460 10674244 13342805 15630143 26685610 31260286 38503523 53371220 62520572 77007046 78150715 109411001 154014092 156301430 192517615 218822002 269524661 312602860 385035230 437644004 539049322 547055005 770070460 1078098644 1094110010 1347623305 1578644443 2188220020 2695246610 3157288886 5390493220 6314577772 7893222215 11050511101 15786444430 22101022202 31572888860 44202044404 55252555505 110505111010 221010222020