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10229319 = 322349417
BaseRepresentation
bin100111000001…
…011001000111
3201020200222200
4213001121013
510104314234
61003125543
7152643042
oct47013107
921220880
1010229319
115857491
1235138b3
132172069
141503c59
15d70d99
hex9c1647

10229319 has 12 divisors (see below), whose sum is σ = 15418416. Its totient is φ = 6522912.

The previous prime is 10229311. The next prime is 10229327. The reversal of 10229319 is 91392201.

It is an interprime number because it is at equal distance from previous prime (10229311) and next prime (10229327).

It is not a de Polignac number, because 10229319 - 23 = 10229311 is a prime.

It is a super-2 number, since 2×102293192 = 209277934407522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10229292 and 10229301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10229311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24502 + ... + 24915.

It is an arithmetic number, because the mean of its divisors is an integer number (1284868).

Almost surely, 210229319 is an apocalyptic number.

10229319 is a deficient number, since it is larger than the sum of its proper divisors (5189097).

10229319 is a wasteful number, since it uses less digits than its factorization.

10229319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49446 (or 49443 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 10229319 is about 3198.3306583279. The cubic root of 10229319 is about 217.0778812525.

The spelling of 10229319 in words is "ten million, two hundred twenty-nine thousand, three hundred nineteen".

Divisors: 1 3 9 23 69 207 49417 148251 444753 1136591 3409773 10229319