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10085229 = 3573112
BaseRepresentation
bin100110011110…
…001101101101
3200222101100000
4212132031231
510040211404
61000054513
7151503000
oct46361555
920871300
1010085229
115769200
123464439
1321215bb
1414a7537
15d43339
hex99e36d

10085229 has 72 divisors (see below), whose sum is σ = 19364800. Its totient is φ = 5239080.

The previous prime is 10085227. The next prime is 10085237. The reversal of 10085229 is 92258001.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not a de Polignac number, because 10085229 - 21 = 10085227 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10085227) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 916834 + ... + 916844.

Almost surely, 210085229 is an apocalyptic number.

It is an amenable number.

10085229 is a deficient number, since it is larger than the sum of its proper divisors (9279571).

10085229 is an frugal number, since it uses more digits than its factorization.

10085229 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 10085229 is about 3175.7249566044. The cubic root of 10085229 is about 216.0538060401.

The spelling of 10085229 in words is "ten million, eighty-five thousand, two hundred twenty-nine".

Divisors: 1 3 7 9 11 21 27 33 49 63 77 81 99 121 147 189 231 243 297 343 363 441 539 567 693 847 891 1029 1089 1323 1617 1701 2079 2541 2673 3087 3267 3773 3969 4851 5929 6237 7623 9261 9801 11319 11907 14553 17787 18711 22869 27783 29403 33957 41503 43659 53361 68607 83349 101871 124509 130977 160083 205821 305613 373527 480249 916839 1120581 1440747 3361743 10085229