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220215271441 = 11237211532
BaseRepresentation
bin1100110100010111011…
…0100110000000010001
3210001102011212212122111
43031011312212000101
512102000102141231
6245055425305321
721624065631304
oct3150566460021
9701364785574
10220215271441
1185435863900
1236819795241
13179c649a159
14a930c02b3b
155add0644b1
hex3345da6011

220215271441 has 27 divisors (see below), whose sum is σ = 248989584753. Its totient is φ = 194616069120.

The previous prime is 220215271439. The next prime is 220215271457. The reversal of 220215271441 is 144172512022.

The square root of 220215271441 is 469271.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 105578855041 + 114636416400 = 324929^2 + 338580^2 .

It is not a de Polignac number, because 220215271441 - 21 = 220215271439 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (220215271481) 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, 190992721 + ... + 190993873.

Almost surely, 2220215271441 is an apocalyptic number.

220215271441 is the 469271-st square number.

220215271441 is the 234636-th centered octagonal number.

It is an amenable number.

220215271441 is a deficient number, since it is larger than the sum of its proper divisors (28774313312).

220215271441 is an frugal number, since it uses more digits than its factorization.

220215271441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2402 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

Adding to 220215271441 its reverse (144172512022), we get a palindrome (364387783463).

The spelling of 220215271441 in words is "two hundred twenty billion, two hundred fifteen million, two hundred seventy-one thousand, four hundred forty-one".

Divisors: 1 11 37 121 407 1153 1369 4477 12683 15059 42661 139513 165649 469271 1329409 1578457 5161981 14623499 17363027 49188133 160858489 190993297 541069463 1819960921 5951764093 20019570131 220215271441