Search a number
-
+
221863256192 = 27172312792
BaseRepresentation
bin1100111010100000010…
…1001010000010000000
3210012200000212011201202
43032220011022002000
512113333443144232
6245531135320332
722012656363464
oct3165005120200
9705600764652
10221863256192
118610102a176
1236bb96800a8
1317bc9a33c66
14aa49a284a4
155b87a91162
hex33a814a080

221863256192 has 216 divisors, whose sum is σ = 491375608605. Its totient is φ = 99759329280.

The previous prime is 221863256191. The next prime is 221863256201. The reversal of 221863256192 is 291652368122.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 203054779456 + 18808476736 = 450616^2 + 137144^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=333064.

It is not an unprimeable number, because it can be changed into a prime (221863256191) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2808395609 + ... + 2808395687.

Almost surely, 2221863256192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221863256192

221863256192 is an abundant number, since it is smaller than the sum of its proper divisors (269512352413).

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

221863256192 is an frugal number, since it uses more digits than its factorization.

221863256192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 129 counting only the distinct ones).

The product of its digits is 622080, while the sum is 47.

The spelling of 221863256192 in words is "two hundred twenty-one billion, eight hundred sixty-three million, two hundred fifty-six thousand, one hundred ninety-two".