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227081481823729 = 136196
BaseRepresentation
bin110011101000011110000111…
…000011110010010111110001
31002210000202222220111001121201
4303220132013003302113301
5214231000333321324404
62122543443111251201
765555044544564221
oct6350360703622761
91083022886431551
10227081481823729
116639a79653a915
1221575ab4979b01
1399928cc000000
144010b33984081
151b3bd9cc4bca4
hexce87870f25f1

227081481823729 has 49 divisors (see below), whose sum is σ = 259671875249263. Its totient is φ = 198581376817512.

The previous prime is 227081481823727. The next prime is 227081481823733. The reversal of 227081481823729 is 927328184180722.

The square root of 227081481823729 is 15069223.

The cubic root of 227081481823729 is 61009.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 194827578544225 + 32253903279504 = 13958065^2 + 5679252^2 .

It is not a de Polignac number, because 227081481823729 - 21 = 227081481823727 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (227081481823727) by changing a digit.

It is a polite number, since it can be written in 48 ways as a sum of consecutive naturals, for example, 11951656938082 + ... + 11951656938100.

Almost surely, 2227081481823729 is an apocalyptic number.

227081481823729 is the 15069223-rd square number.

227081481823729 is the 7534612-nd centered octagonal number.

It is an amenable number.

227081481823729 is a deficient number, since it is larger than the sum of its proper divisors (32590393425534).

227081481823729 is an frugal number, since it uses more digits than its factorization.

227081481823729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 32 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 64.

The spelling of 227081481823729 in words is "two hundred twenty-seven trillion, eighty-one billion, four hundred eighty-one million, eight hundred twenty-three thousand, seven hundred twenty-nine".

Divisors: 1 13 19 169 247 361 2197 3211 4693 6859 28561 41743 61009 89167 130321 371293 542659 793117 1159171 1694173 2476099 4826809 7054567 10310521 15069223 22024249 32189287 47045881 91709371 134036773 195899899 286315237 418460731 611596453 1742478049 2546698687 3722098081 5439989503 7950753889 33107082931 48387275053 70719863539 103359800557 629034575689 919358226007 1343677407241 11951656938091 17467806294133 227081481823729