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234220185369 = 3235324572
BaseRepresentation
bin1101101000100010011…
…1000110011100011001
3211101120012121012212100
43122020213012130121
512314140331412434
6255333235234013
722631123504202
oct3321047063431
9741505535770
10234220185369
1190372208a35
1239487a48909
1319118b09881
14b49cbd85a9
15615c818699
hex36889c6719

234220185369 has 27 divisors (see below), whose sum is σ = 340023198333. Its totient is φ = 155363738112.

The previous prime is 234220185317. The next prime is 234220185389. The reversal of 234220185369 is 963581022432.

The square root of 234220185369 is 483963.

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

234220185369 is a `hidden beast` number, since 2 + 3 + 4 + 2 + 201 + 85 + 369 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22436145369 + 211784040000 = 149787^2 + 460200^2 .

It is not a de Polignac number, because 234220185369 - 235 = 199860447001 is a prime.

It is a super-2 number, since 2×2342201853692 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (234220185389) 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, 512516589 + ... + 512517045.

Almost surely, 2234220185369 is an apocalyptic number.

234220185369 is the 483963-rd square number.

234220185369 is the 241982-nd centered octagonal number.

It is an amenable number.

234220185369 is a deficient number, since it is larger than the sum of its proper divisors (105803012964).

234220185369 is an frugal number, since it uses more digits than its factorization.

234220185369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1626 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 234220185369 in words is "two hundred thirty-four billion, two hundred twenty million, one hundred eighty-five thousand, three hundred sixty-nine".

Divisors: 1 3 9 353 457 1059 1371 3177 4113 124609 161321 208849 373827 483963 626547 1121481 1451889 1879641 56946313 73723697 170838939 221171091 512516817 663513273 26024465041 78073395123 234220185369