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10225216 = 26159769
BaseRepresentation
bin100111000000…
…011001000000
3201020111100201
4213000121000
510104201331
61003054544
7152625061
oct47003100
921214321
1010225216
1158543a1
123511454
132170231
141502568
15d6ea61
hex9c0640

10225216 has 14 divisors (see below), whose sum is σ = 20290790. Its totient is φ = 5112576.

The previous prime is 10225199. The next prime is 10225223. The reversal of 10225216 is 61252201.

10225216 = T334 + T335 + ... + T461.

It can be written as a sum of positive squares in only one way, i.e., 9585216 + 640000 = 3096^2 + 800^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10225193 and 10225202.

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 as a sum of consecutive naturals, namely, 79821 + ... + 79948.

Almost surely, 210225216 is an apocalyptic number.

10225216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10225216 is a deficient number, since it is larger than the sum of its proper divisors (10065574).

10225216 is an equidigital number, since it uses as much as digits as its factorization.

10225216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159781 (or 159771 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 10225216 is about 3197.6891656320. The cubic root of 10225216 is about 217.0488539159.

Adding to 10225216 its reverse (61252201), we get a palindrome (71477417).

The spelling of 10225216 in words is "ten million, two hundred twenty-five thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 64 159769 319538 639076 1278152 2556304 5112608 10225216