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232890212569 = 727129712
BaseRepresentation
bin1101100011100101010…
…1101010000011011001
3211021010112000121011111
43120321111222003121
512303424343300234
6254553245300321
722553144100400
oct3307125520331
9737115017144
10232890212569
118a84a4a9763
12391765646a1
1318c66409111
14b3b4314637
1560d0ba7664
hex363956a0d9

232890212569 has 27 divisors (see below), whose sum is σ = 275065804533. Its totient is φ = 196605943800.

The previous prime is 232890212561. The next prime is 232890212579. The reversal of 232890212569 is 965212098232.

It is a happy number.

The square root of 232890212569 is 482587.

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

232890212569 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 232890212569 - 23 = 232890212561 is a prime.

It is a super-2 number, since 2×2328902125692 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (232890212561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 239845254 + ... + 239846224.

Almost surely, 2232890212569 is an apocalyptic number.

232890212569 is the 482587-th square number.

232890212569 is the 241294-th centered octagonal number.

It is an amenable number.

232890212569 is a deficient number, since it is larger than the sum of its proper divisors (42175591964).

232890212569 is an frugal number, since it uses more digits than its factorization.

232890212569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2098 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 49.

Multiplying 232890212569 by its sum of digits (49), we get a square (11411620415881 = 33781092).

232890212569 divided by its sum of digits (49) gives a square (4752861481 = 689412).

The spelling of 232890212569 in words is "two hundred thirty-two billion, eight hundred ninety million, two hundred twelve thousand, five hundred sixty-nine".

Divisors: 1 7 49 71 497 971 3479 5041 6797 35287 47579 68941 247009 482587 942841 3378109 4894811 6599887 34263677 46199209 66941711 239845739 468591977 3280143839 4752861481 33270030367 232890212569