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9228096 = 263237433
BaseRepresentation
bin100011001100…
…111101000000
3122100211120100
4203030331000
54330244341
6525442400
7141303033
oct43147500
918324510
109228096
115233229
123110400
131bb1417
14132301a
15c243b6
hex8ccf40

9228096 has 84 divisors (see below), whose sum is σ = 27228292. Its totient is φ = 2985984.

The previous prime is 9228073. The next prime is 9228097. The reversal of 9228096 is 6908229.

It can be written as a sum of positive squares in 2 ways, for example, as 4665600 + 4562496 = 2160^2 + 2136^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 9228096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9228097) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21096 + ... + 21528.

Almost surely, 29228096 is an apocalyptic number.

9228096 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9228096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13614146).

9228096 is an abundant number, since it is smaller than the sum of its proper divisors (18000196).

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

9228096 is a wasteful number, since it uses less digits than its factorization.

9228096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 9228096 is about 3037.7781354141. The cubic root of 9228096 is about 209.7509973846.

The spelling of 9228096 in words is "nine million, two hundred twenty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 144 148 192 222 288 296 333 433 444 576 592 666 866 888 1184 1299 1332 1732 1776 2368 2598 2664 3464 3552 3897 5196 5328 6928 7104 7794 10392 10656 13856 15588 16021 20784 21312 27712 31176 32042 41568 48063 62352 64084 83136 96126 124704 128168 144189 192252 249408 256336 288378 384504 512672 576756 769008 1025344 1153512 1538016 2307024 3076032 4614048 9228096