Search a number
-
+
220041819272 = 23112150772
BaseRepresentation
bin1100110011101110000…
…0111011010010001000
3210000222002111121000002
43030323200323102020
512101121201204042
6245030311502132
721616561413662
oct3147340732210
9700862447002
10220041819272
1185356963700
123678b687948
1317999579732
14a915b71532
155accc01132
hex333b83b488

220041819272 has 36 divisors (see below), whose sum is σ = 453525358965. Its totient is φ = 100012374880.

The previous prime is 220041819209. The next prime is 220041819311. The reversal of 220041819272 is 272918140022.

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 147328539556 + 72713279716 = 383834^2 + 269654^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=331694.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14586998 + ... + 14602074.

Almost surely, 2220041819272 is an apocalyptic number.

220041819272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

220041819272 is an abundant number, since it is smaller than the sum of its proper divisors (233483539693).

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

220041819272 is an frugal number, since it uses more digits than its factorization.

220041819272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30182 (or 15090 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

Adding to 220041819272 its reverse (272918140022), we get a palindrome (492959959294).

The spelling of 220041819272 in words is "two hundred twenty billion, forty-one million, eight hundred nineteen thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 15077 30154 60308 120616 165847 331694 663388 1326776 1824317 3648634 7297268 14594536 227315929 454631858 909263716 1818527432 2500475219 5000950438 10001900876 20003801752 27505227409 55010454818 110020909636 220041819272