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902101225 = 5260072
BaseRepresentation
bin110101110001001…
…111100011101001
32022212110111020111
4311301033203221
53321414214400
6225303054321
731232506504
oct6561174351
92285414214
10902101225
11423238003
122121413a1
13114b80c0c
1487b4613b
15542e43ba
hex35c4f8e9

902101225 has 9 divisors (see below), whose sum is σ = 1118791767. Its totient is φ = 721560840.

The previous prime is 902101219. The next prime is 902101267. The reversal of 902101225 is 522101209.

The square root of 902101225 is 30035.

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., 324756441 + 577344784 = 18021^2 + 24028^2 .

It is not a de Polignac number, because 902101225 - 213 = 902093033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 902101196 and 902101205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 147172 + ... + 153178.

Almost surely, 2902101225 is an apocalyptic number.

902101225 is the 30035-th square number.

902101225 is the 15018-th centered octagonal number.

It is an amenable number.

902101225 is a deficient number, since it is larger than the sum of its proper divisors (216690542).

902101225 is an frugal number, since it uses more digits than its factorization.

902101225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12024 (or 6012 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The cubic root of 902101225 is about 966.2401748539.

The spelling of 902101225 in words is "nine hundred two million, one hundred one thousand, two hundred twenty-five".

Divisors: 1 5 25 6007 30035 150175 36084049 180420245 902101225