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38225 = 5211139
BaseRepresentation
bin1001010101010001
31221102202
421111101
52210400
6452545
7216305
oct112521
957382
1038225
11267a0
121a155
1314525
14dd05
15b4d5
hex9551

38225 has 12 divisors (see below), whose sum is σ = 52080. Its totient is φ = 27600.

The previous prime is 38219. The next prime is 38231. The reversal of 38225 is 52283.

It is an interprime number because it is at equal distance from previous prime (38219) and next prime (38231).

It is not a de Polignac number, because 38225 - 210 = 37201 is a prime.

It is a super-2 number, since 2×382252 = 2922301250, which contains 22 as substring.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (480) is a multiple of the sum of its prime factors (160).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 38197 and 38206.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 38225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 206 + ... + 344.

It is an arithmetic number, because the mean of its divisors is an integer number (4340).

238225 is an apocalyptic number.

It is an amenable number.

38225 is a deficient number, since it is larger than the sum of its proper divisors (13855).

38225 is a wasteful number, since it uses less digits than its factorization.

38225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 155 counting only the distinct ones).

The product of its digits is 480, while the sum is 20.

The square root of 38225 is about 195.5121479602. The cubic root of 38225 is about 33.6859783115.

It can be divided in two parts, 3822 and 5, that multiplied together give a triangular number (19110 = T195).

The spelling of 38225 in words is "thirty-eight thousand, two hundred twenty-five".

Divisors: 1 5 11 25 55 139 275 695 1529 3475 7645 38225