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4192225 = 52612749
BaseRepresentation
bin1111111111011111100001
321212222122121
433333133201
52033122400
6225504241
750430142
oct17773741
97788577
104192225
112403754
1214a2081
13b3a20b
147b1ac9
1557c21a
hex3ff7e1

4192225 has 12 divisors (see below), whose sum is σ = 5285500. Its totient is φ = 3297600.

The previous prime is 4192219. The next prime is 4192229. The reversal of 4192225 is 5222914.

It can be written as a sum of positive squares in 6 ways, for example, as 1577536 + 2614689 = 1256^2 + 1617^2 .

It is a de Polignac number, because none of the positive numbers 2k-4192225 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 4192225.

It is not an unprimeable number, because it can be changed into a prime (4192229) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 151 + ... + 2899.

Almost surely, 24192225 is an apocalyptic number.

It is an amenable number.

4192225 is a deficient number, since it is larger than the sum of its proper divisors (1093275).

4192225 is a wasteful number, since it uses less digits than its factorization.

4192225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2820 (or 2815 counting only the distinct ones).

The product of its digits is 1440, while the sum is 25.

The square root of 4192225 is about 2047.4923687281. The cubic root of 4192225 is about 161.2432443136.

The spelling of 4192225 in words is "four million, one hundred ninety-two thousand, two hundred twenty-five".

Divisors: 1 5 25 61 305 1525 2749 13745 68725 167689 838445 4192225