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900408225 = 35229094127
BaseRepresentation
bin110101101010110…
…010001110100001
32022202021110212210
4311222302032201
53321001030400
6225202512333
731212225603
oct6552621641
92282243783
10900408225
11422291032
122116656a9
1311470a442
1487825173
15540ac950
hex35ab23a1

900408225 has 24 divisors (see below), whose sum is σ = 1489547520. Its totient is φ = 479936320.

The previous prime is 900408221. The next prime is 900408227. The reversal of 900408225 is 522804009.

900408225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 900408225 - 22 = 900408221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 900408192 and 900408201.

It is not an unprimeable number, because it can be changed into a prime (900408221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216112 + ... + 220238.

It is an arithmetic number, because the mean of its divisors is an integer number (62064480).

Almost surely, 2900408225 is an apocalyptic number.

It is an amenable number.

900408225 is a deficient number, since it is larger than the sum of its proper divisors (589139295).

900408225 is a wasteful number, since it uses less digits than its factorization.

900408225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7049 (or 7044 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 900408225 is about 30006.8029786580. The cubic root of 900408225 is about 965.6353391715.

The spelling of 900408225 in words is "nine hundred million, four hundred eight thousand, two hundred twenty-five".

Divisors: 1 3 5 15 25 75 2909 4127 8727 12381 14545 20635 43635 61905 72725 103175 218175 309525 12005443 36016329 60027215 180081645 300136075 900408225