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223471674162961 = 7641210632
BaseRepresentation
bin110010110011111100001101…
…110000010111111100010001
31002022020200110012111221101021
4302303330031300113330101
5213242324442041203321
62111141245253235441
765033203261000000
oct6263741560277421
91068220405457337
10223471674162961
1165228894196984
1221092383632b81
139790399959853
143d28130030c37
151ac8027621941
hexcb3f0dc17f11

223471674162961 has 63 divisors (see below), whose sum is σ = 267482304536763. Its totient is φ = 186699467717280.

The previous prime is 223471674162931. The next prime is 223471674163081. The reversal of 223471674162961 is 169261476174322.

The square root of 223471674162961 is 14948969.

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., 10768117553361 + 212703556609600 = 3281481^2 + 14584360^2 .

It is not a de Polignac number, because 223471674162961 - 29 = 223471674162449 is a prime.

It is a super-2 number, since 2×2234716741629612 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 223471674162961.

It is not an unprimeable number, because it can be changed into a prime (223471674162911) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 210227350516 + ... + 210227351578.

Almost surely, 2223471674162961 is an apocalyptic number.

223471674162961 is the 14948969-th square number.

223471674162961 is the 7474485-th centered octagonal number.

It is an amenable number.

223471674162961 is a deficient number, since it is larger than the sum of its proper divisors (44010630373802).

223471674162961 is an frugal number, since it uses more digits than its factorization.

223471674162961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2250 (or 1111 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 61.

The spelling of 223471674162961 in words is "two hundred twenty-three trillion, four hundred seventy-one billion, six hundred seventy-four million, one hundred sixty-two thousand, nine hundred sixty-one".

Divisors: 1 7 41 49 287 343 1063 1681 2009 2401 7441 11767 14063 16807 43583 52087 82369 98441 117649 305081 364609 576583 689087 1129969 1786903 2135567 2552263 4036081 4823609 7909783 12508321 14948969 17865841 28252567 46328729 55368481 87558247 104642783 125060887 197767969 324301103 387579367 612907729 732499481 1899477889 2270107721 2713055569 4290354103 5127496367 13296345223 15890754047 18991388983 30032478721 93074416561 111235278329 132939722881 210227351047 651520915927 778646948303 4560646411489 5450528638121 31924524880423 223471674162961