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102002225 = 5213313853
BaseRepresentation
bin1100001010001…
…10111000110001
321002221020202012
412011012320301
5202103032400
614042132305
72346001403
oct605067061
9232836665
10102002225
1152639866
122a1b1095
1318194c60
14d792b73
158e4cd35
hex6146e31

102002225 has 12 divisors (see below), whose sum is σ = 136212636. Its totient is φ = 75324480.

The previous prime is 102002191. The next prime is 102002249. The reversal of 102002225 is 522200201.

It can be written as a sum of positive squares in 6 ways, for example, as 39639616 + 62362609 = 6296^2 + 7897^2 .

It is not a de Polignac number, because 102002225 - 210 = 102001201 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 156602 + ... + 157251.

It is an arithmetic number, because the mean of its divisors is an integer number (11351053).

Almost surely, 2102002225 is an apocalyptic number.

It is an amenable number.

102002225 is a deficient number, since it is larger than the sum of its proper divisors (34210411).

102002225 is a wasteful number, since it uses less digits than its factorization.

102002225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313876 (or 313871 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 102002225 is about 10099.6150916755. The cubic root of 102002225 is about 467.2362701740.

Adding to 102002225 its reverse (522200201), we get a palindrome (624202426).

The spelling of 102002225 in words is "one hundred two million, two thousand, two hundred twenty-five".

Divisors: 1 5 13 25 65 325 313853 1569265 4080089 7846325 20400445 102002225