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226834065441 = 34529192
BaseRepresentation
bin1101001101000001011…
…1010010100000100001
3210200111110022110010000
43103100113102200201
512204024010043231
6252112305130213
722250105512644
oct3232027224041
9720443273100
10226834065441
1188221a09795
1237b66329969
131850c811cc9
14ad9bc8ba5b
155d7917d6e6
hex34d05d2821

226834065441 has 15 divisors (see below), whose sum is σ = 338857291201. Its totient is φ = 151219852668.

The previous prime is 226834065407. The next prime is 226834065463. The reversal of 226834065441 is 144560438622.

The square root of 226834065441 is 476271.

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

226834065441 is a `hidden beast` number, since 2 + 2 + 68 + 3 + 40 + 6 + 544 + 1 = 666.

It is not a de Polignac number, because 226834065441 - 227 = 226699847713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (226834065481) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4259980 + ... + 4312898.

Almost surely, 2226834065441 is an apocalyptic number.

226834065441 is the 476271-st square number.

226834065441 is the 238136-th centered octagonal number.

It is an amenable number.

226834065441 is a deficient number, since it is larger than the sum of its proper divisors (112023225760).

226834065441 is an frugal number, since it uses more digits than its factorization.

226834065441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105850 (or 52922 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 226834065441 in words is "two hundred twenty-six billion, eight hundred thirty-four million, sixty-five thousand, four hundred forty-one".

Divisors: 1 3 9 27 81 52919 158757 476271 1428813 4286439 2800420561 8401261683 25203785049 75611355147 226834065441