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229654683729 = 36177492
BaseRepresentation
bin1101010111100001111…
…1000110000001010001
3210221210000210201000000
43111320133012001101
512230313044334404
6253300224520213
722410025413612
oct3257037060121
9727700721000
10229654683729
118943a099a89
1238612a80069
131886bcaac03
14b18871bc09
155e91adc339
hex35787c6051

229654683729 has 21 divisors (see below), whose sum is σ = 344343912843. Its totient is φ = 153094496472.

The previous prime is 229654683703. The next prime is 229654683737. The reversal of 229654683729 is 927386456922.

It is a happy number.

The square root of 229654683729 is 479223.

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

229654683729 is a `hidden beast` number, since 2 + 2 + 9 + 6 + 546 + 83 + 7 + 2 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13485480129 + 216169203600 = 116127^2 + 464940^2 .

It is not a de Polignac number, because 229654683729 - 227 = 229520466001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (229654683779) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 12930147 + ... + 12947895.

It is an arithmetic number, because the mean of its divisors is an integer number (16397329183).

Almost surely, 2229654683729 is an apocalyptic number.

229654683729 is the 479223-rd square number.

229654683729 is the 239612-nd centered octagonal number.

It is an amenable number.

229654683729 is a deficient number, since it is larger than the sum of its proper divisors (114689229114).

229654683729 is an frugal number, since it uses more digits than its factorization.

229654683729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35516 (or 17752 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

It can be divided in two parts, 2296 and 54683729, that added together give a square (54686025 = 73952).

The spelling of 229654683729 in words is "two hundred twenty-nine billion, six hundred fifty-four million, six hundred eighty-three thousand, seven hundred twenty-nine".

Divisors: 1 3 9 27 81 243 729 17749 53247 159741 479223 1437669 4313007 12939021 315027001 945081003 2835243009 8505729027 25517187081 76551561243 229654683729