Search a number
-
+
222283017961 = 5926121312
BaseRepresentation
bin1100111100000100011…
…0011010111011101001
3210020202021201021121221
43033001012122323221
512120213423033321
6250040532302041
722026244322644
oct3170106327351
9706667637557
10222283017961
11862a6a72424
12370b6171921
1317c659a43c4
14aa89694a5b
155bae859e41
hex33c119aee9

222283017961 has 27 divisors (see below), whose sum is σ = 231650162679. Its totient is φ = 213292575600.

The previous prime is 222283017953. The next prime is 222283018003. The reversal of 222283017961 is 169710382222.

The square root of 222283017961 is 471469.

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., 7228230361 + 215054787600 = 85019^2 + 463740^2 .

It is not a de Polignac number, because 222283017961 - 23 = 222283017953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (222283017941) 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, 1696816866 + ... + 1696816996.

Almost surely, 2222283017961 is an apocalyptic number.

222283017961 is the 471469-th square number.

222283017961 is the 235735-th centered octagonal number.

It is an amenable number.

222283017961 is a deficient number, since it is larger than the sum of its proper divisors (9367144718).

222283017961 is an frugal number, since it uses more digits than its factorization.

222283017961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The spelling of 222283017961 in words is "two hundred twenty-two billion, two hundred eighty-three million, seventeen thousand, nine hundred sixty-one".

Divisors: 1 59 61 131 3481 3599 3721 7729 7991 17161 212341 219539 456011 471469 487451 1012499 1046821 12952801 27816671 28759609 59737441 61762439 63856081 1696816931 3643983901 3767508779 222283017961