Search a number
-
+
220532612881 = 727329192
BaseRepresentation
bin1100110101100011000…
…1001001111100010001
3210002020022000111021011
43031120301021330101
512103122322103011
6245151123130521
721635001165100
oct3153061117421
9702208014234
10220532612881
1185588a02159
12368a7b13a41
1317a4715a259
14a96100c037
155b0ad4b621
hex3358c49f11

220532612881 has 27 divisors (see below), whose sum is σ = 260383629051. Its totient is φ = 186235658784.

The previous prime is 220532612873. The next prime is 220532612953. The reversal of 220532612881 is 188216235022.

The square root of 220532612881 is 469609.

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

It can be written as a sum of positive squares in only one way, i.e., 125185054225 + 95347558656 = 353815^2 + 308784^2 .

It is not a de Polignac number, because 220532612881 - 23 = 220532612873 is a prime.

It is a super-2 number, since 2×2205326128812 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (220532612821) 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, 239969740 + ... + 239970658.

It is an arithmetic number, because the mean of its divisors is an integer number (9643838113).

Almost surely, 2220532612881 is an apocalyptic number.

220532612881 is the 469609-th square number.

220532612881 is the 234805-th centered octagonal number.

It is an amenable number.

220532612881 is a deficient number, since it is larger than the sum of its proper divisors (39851016170).

220532612881 is an frugal number, since it uses more digits than its factorization.

220532612881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1998 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The spelling of 220532612881 in words is "two hundred twenty billion, five hundred thirty-two million, six hundred twelve thousand, eight hundred eighty-one".

Divisors: 1 7 49 73 511 919 3577 5329 6433 37303 45031 67087 261121 469609 844561 3287263 4897351 5911927 34281457 41383489 61652953 239970199 431570671 3020994697 4500665569 31504658983 220532612881