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221015422020 = 2235149239310331
BaseRepresentation
bin1100110111010110001…
…0111011010001000100
3210010110221111201220010
43031311202323101010
512110114422001040
6245311051310220
721652653042651
oct3156542732104
9703427451803
10221015422020
1185806497878
1236a0174b370
1317ac31a3733
14a9a91aac28
155b3841ae80
hex33758bb444

221015422020 has 96 divisors (see below), whose sum is σ = 623317161600. Its totient is φ = 58511764480.

The previous prime is 221015422013. The next prime is 221015422049. The reversal of 221015422020 is 20224510122.

221015422020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21388255 + ... + 21398585.

It is an arithmetic number, because the mean of its divisors is an integer number (6492887100).

Almost surely, 2221015422020 is an apocalyptic number.

221015422020 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 221015422020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311658580800).

221015422020 is an abundant number, since it is smaller than the sum of its proper divisors (402301739580).

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

221015422020 is a wasteful number, since it uses less digits than its factorization.

221015422020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12885 (or 12883 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 221015422020 its reverse (20224510122), we get a palindrome (241239932142).

The spelling of 221015422020 in words is "two hundred twenty-one billion, fifteen million, four hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 149 298 447 596 745 894 1490 1788 2235 2393 2980 4470 4786 7179 8940 9572 10331 11965 14358 20662 23930 28716 30993 35895 41324 47860 51655 61986 71790 103310 123972 143580 154965 206620 309930 356557 619860 713114 1069671 1426228 1539319 1782785 2139342 3078638 3565570 4278684 4617957 5348355 6157276 7131140 7696595 9235914 10696710 15393190 18471828 21393420 23089785 24722083 30786380 46179570 49444166 74166249 92359140 98888332 123610415 148332498 247220830 296664996 370831245 494441660 741662490 1483324980 3683590367 7367180734 11050771101 14734361468 18417951835 22101542202 36835903670 44203084404 55253855505 73671807340 110507711010 221015422020