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34633225 = 521121072
BaseRepresentation
bin1000010000011…
…1011000001001
32102011112212001
42010013120021
532331230400
63234151001
7600243334
oct204073011
972145761
1034633225
1118605500
12b722461
137237b43
14485761b
153091a6a
hex2107609

34633225 has 27 divisors (see below), whose sum is σ = 47649511. Its totient is φ = 24952400.

The previous prime is 34633223. The next prime is 34633229. The reversal of 34633225 is 52233643.

The square root of 34633225 is 5885.

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

It can be written as a sum of positive squares in only one way, i.e., 12467961 + 22165264 = 3531^2 + 4708^2 .

It is not a de Polignac number, because 34633225 - 21 = 34633223 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34633193 and 34633202.

It is not an unprimeable number, because it can be changed into a prime (34633223) 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, 323622 + ... + 323728.

Almost surely, 234633225 is an apocalyptic number.

34633225 is the 5885-th square number.

34633225 is the 2943-rd centered octagonal number.

It is an amenable number.

34633225 is a deficient number, since it is larger than the sum of its proper divisors (13016286).

34633225 is a wasteful number, since it uses less digits than its factorization.

34633225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 123 counting only the distinct ones).

The product of its digits is 12960, while the sum is 28.

The cubic root of 34633225 is about 325.9600017420.

Adding to 34633225 its reverse (52233643), we get a palindrome (86866868).

The spelling of 34633225 in words is "thirty-four million, six hundred thirty-three thousand, two hundred twenty-five".

Divisors: 1 5 11 25 55 107 121 275 535 605 1177 2675 3025 5885 11449 12947 29425 57245 64735 125939 286225 323675 629695 1385329 3148475 6926645 34633225