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106362225 = 3252472721
BaseRepresentation
bin1100101011011…
…11010101110001
321102010202112200
412111233111301
5204212042400
614315413413
72431030644
oct625572561
9242122480
10106362225
1155047572
122b754269
1319060638
14101a9a5b
15950eb00
hex656f571

106362225 has 18 divisors (see below), whose sum is σ = 190506966. Its totient is φ = 56726400.

The previous prime is 106362211. The next prime is 106362233. The reversal of 106362225 is 522263601.

106362225 is a `hidden beast` number, since 1 + 0 + 636 + 2 + 2 + 25 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 848241 + 105513984 = 921^2 + 10272^2 .

It is not a de Polignac number, because 106362225 - 212 = 106358129 is a prime.

It is a super-2 number, since 2×1063622252 = 22625845813901250, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 236136 + ... + 236585.

Almost surely, 2106362225 is an apocalyptic number.

106362225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106362225 is a deficient number, since it is larger than the sum of its proper divisors (84144741).

106362225 is a wasteful number, since it uses less digits than its factorization.

106362225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472737 (or 472729 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 106362225 is about 10313.2063394465. The cubic root of 106362225 is about 473.8008162736.

The spelling of 106362225 in words is "one hundred six million, three hundred sixty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 472721 1418163 2363605 4254489 7090815 11818025 21272445 35454075 106362225