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3833467225 = 5272292612
BaseRepresentation
bin1110010001111110…
…0001000101011001
3100220011100022102121
43210133201011121
530322331422400
61432220301241
7163665635200
oct34437410531
910804308377
103833467225
11169798a735
128ab9a1821
13491284603
142851a4237
1517682c21a
hexe47e1159

3833467225 has 81 divisors (see below), whose sum is σ = 5822252631. Its totient is φ = 2496412800.

The previous prime is 3833467213. The next prime is 3833467229. The reversal of 3833467225 is 5227643383.

The square root of 3833467225 is 61915.

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

3833467225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 3817880521 + 15586704 = 61789^2 + 3948^2 .

It is not a de Polignac number, because 3833467225 - 27 = 3833467097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3833467229) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 62843695 + ... + 62843755.

Almost surely, 23833467225 is an apocalyptic number.

3833467225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3833467225 is the 61915-th square number.

3833467225 is the 30958-th centered octagonal number.

It is an amenable number.

3833467225 is a deficient number, since it is larger than the sum of its proper divisors (1988785406).

3833467225 is an equidigital number, since it uses as much as digits as its factorization.

3833467225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 102 counting only the distinct ones).

The product of its digits is 725760, while the sum is 43.

The cubic root of 3833467225 is about 1565.0585333339.

The spelling of 3833467225 in words is "three billion, eight hundred thirty-three million, four hundred sixty-seven thousand, two hundred twenty-five".

Divisors: 1 5 7 25 29 35 49 61 145 175 203 245 305 427 725 841 1015 1225 1421 1525 1769 2135 2989 3721 4205 5075 5887 7105 8845 10675 12383 14945 18605 21025 26047 29435 35525 41209 44225 51301 61915 74725 86681 93025 107909 130235 147175 182329 206045 256505 309575 359107 433405 539545 651175 755363 911645 1030225 1282525 1795535 2167025 2513749 2697725 3129361 3776815 4558225 5287541 8977675 12568745 15646805 18884075 21905527 26437705 62843725 78234025 109527635 132188525 153338689 547638175 766693445 3833467225