Search a number
-
+
336614634225 = 3452128932
BaseRepresentation
bin1001110010111111100…
…10111011001011110001
31012011212020211011110000
410321133302323023301
521003341321243400
6414345535500213
733214424116152
oct4713762731361
91164766734400
10336614634225
1111a837204991
12552a3687669
132598671034c
1412413c71929
158b51d7e600
hex4e5fcbb2f1

336614634225 has 45 divisors (see below), whose sum is σ = 623575028593. Its totient is φ = 179513880480.

The previous prime is 336614634203. The next prime is 336614634241. The reversal of 336614634225 is 522436416633.

The square root of 336614634225 is 580185.

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

336614634225 is a `hidden beast` number, since 3 + 3 + 6 + 6 + 1 + 4 + 634 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 511528689 + 336103105536 = 22617^2 + 579744^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 336614634225 - 29 = 336614633713 is a prime.

It is a super-2 number, since 2×3366146342252 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 26101879 + ... + 26114771.

Almost surely, 2336614634225 is an apocalyptic number.

336614634225 is the 580185-th square number.

336614634225 is the 290093-rd centered octagonal number.

It is an amenable number.

336614634225 is a deficient number, since it is larger than the sum of its proper divisors (286960394368).

336614634225 is an frugal number, since it uses more digits than its factorization.

336614634225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25808 (or 12901 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 45.

The spelling of 336614634225 in words is "three hundred thirty-six billion, six hundred fourteen million, six hundred thirty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 12893 38679 64465 116037 193395 322325 348111 580185 966975 1044333 1740555 2900925 5221665 8702775 26108325 166229449 498688347 831147245 1496065041 2493441735 4155736225 4488195123 7480325205 12467208675 13464585369 22440975615 37401626025 67322926845 112204878075 336614634225