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9230816 = 2573292
BaseRepresentation
bin100011001101…
…100111100000
3122100222022002
4203031213200
54330341231
6525503132
7141314000
oct43154740
918328262
109230816
115235281
123111aa8
131bb272a
141324000
15c250cb
hex8cd9e0

9230816 has 72 divisors (see below), whose sum is σ = 21949200. Its totient is φ = 3819648.

The previous prime is 9230807. The next prime is 9230821. The reversal of 9230816 is 6180329.

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 a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

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, 318290 + ... + 318318.

It is an arithmetic number, because the mean of its divisors is an integer number (304850).

Almost surely, 29230816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9230816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10974600).

9230816 is an abundant number, since it is smaller than the sum of its proper divisors (12718384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9230816 is an equidigital number, since it uses as much as digits as its factorization.

9230816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 9230816 is about 3038.2257980604. The cubic root of 9230816 is about 209.7716035374.

The spelling of 9230816 in words is "nine million, two hundred thirty thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 29 32 49 56 58 98 112 116 196 203 224 232 343 392 406 464 686 784 812 841 928 1372 1421 1568 1624 1682 2744 2842 3248 3364 5488 5684 5887 6496 6728 9947 10976 11368 11774 13456 19894 22736 23548 26912 39788 41209 45472 47096 79576 82418 94192 159152 164836 188384 288463 318304 329672 576926 659344 1153852 1318688 2307704 4615408 9230816