Search a number
-
+
221647061420032 = 211199354303113
BaseRepresentation
bin110010011001011000111010…
…010111001000100000000000
31002001210020210210201212221011
4302121120322113020200000
5213022431140210420112
62103223130534010304
764454320543403623
oct6231307227104000
91061706723655834
10221647061420032
1164694a99932236
1220a388284a6994
13968a2c74aa541
143ca3abc8c3dba
151a95836dddaa7
hexc9963a5c8800

221647061420032 has 48 divisors (see below), whose sum is σ = 443408276149020. Its totient is φ = 110767922282496.

The previous prime is 221647061420027. The next prime is 221647061420051. The reversal of 221647061420032 is 230024160746122.

It can be written as a sum of positive squares in 2 ways, for example, as 216826331800576 + 4820729619456 = 14725024^2 + 2195616^2 .

It is a super-2 number, since 2×2216470614200322 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23069893 + ... + 31233220.

Almost surely, 2221647061420032 is an apocalyptic number.

It is an amenable number.

221647061420032 is an abundant number, since it is smaller than the sum of its proper divisors (221761214728988).

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

221647061420032 is an equidigital number, since it uses as much as digits as its factorization.

221647061420032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54305128 (or 54305108 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The spelling of 221647061420032 in words is "two hundred twenty-one trillion, six hundred forty-seven billion, sixty-one million, four hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1993 2048 3986 7972 15944 31888 63776 127552 255104 510208 1020416 2040832 4081664 54303113 108606226 217212452 434424904 868849808 1737699616 3475399232 6950798464 13901596928 27803193856 55606387712 108226104209 111212775424 216452208418 432904416836 865808833672 1731617667344 3463235334688 6926470669376 13852941338752 27705882677504 55411765355008 110823530710016 221647061420032