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342205164225 = 32526124932981
BaseRepresentation
bin1001111101011010000…
…01000110101011000001
31012201021212101111212200
410332231001012223001
521101314010223400
6421112404143413
733503106621351
oct4765501065301
91181255344780
10342205164225
11122145991911
12563a3997b69
1326367a00272
14127c4532b61
158d7ca82b00
hex4fad046ac1

342205164225 has 36 divisors (see below), whose sum is σ = 622975488252. Its totient is φ = 179517456000.

The previous prime is 342205164221. The next prime is 342205164239. The reversal of 342205164225 is 522461502243.

342205164225 is a `hidden beast` number, since 3 + 4 + 2 + 2 + 0 + 5 + 1 + 642 + 2 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 179375966784 + 162829197441 = 423528^2 + 403521^2 .

It is not a de Polignac number, because 342205164225 - 22 = 342205164221 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 342205164225.

It is not an unprimeable number, because it can be changed into a prime (342205164221) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12452766 + ... + 12480215.

Almost surely, 2342205164225 is an apocalyptic number.

It is an amenable number.

342205164225 is a deficient number, since it is larger than the sum of its proper divisors (280770324027).

342205164225 is a wasteful number, since it uses less digits than its factorization.

342205164225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24933058 (or 24933050 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 342205164225 its reverse (522461502243), we get a palindrome (864666666468).

The spelling of 342205164225 in words is "three hundred forty-two billion, two hundred five million, one hundred sixty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 61 75 183 225 305 549 915 1525 2745 4575 13725 24932981 74798943 124664905 224396829 373994715 623324525 1121984145 1520911841 1869973575 4562735523 5609920725 7604559205 13688206569 22813677615 38022796025 68441032845 114068388075 342205164225