[go: up one dir, main page]

Search a number
-
+
9228032 = 281129113
BaseRepresentation
bin100011001100…
…111100000000
3122100211110222
4203030330000
54330244112
6525442212
7141302612
oct43147400
918324428
109228032
115233180
123110368
131bb1398
141322db2
15c24372
hex8ccf00

9228032 has 72 divisors (see below), whose sum is σ = 20971440. Its totient is φ = 4014080.

The previous prime is 9228031. The next prime is 9228041. The reversal of 9228032 is 2308229.

It is a junction number, because it is equal to n+sod(n) for n = 9227992 and 9228010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9228031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81608 + ... + 81720.

It is an arithmetic number, because the mean of its divisors is an integer number (291270).

Almost surely, 29228032 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 9228032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10485720).

9228032 is an abundant number, since it is smaller than the sum of its proper divisors (11743408).

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

9228032 is a wasteful number, since it uses less digits than its factorization.

9228032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 9228032 is about 3037.7676013810. The cubic root of 9228032 is about 209.7505124852.

The spelling of 9228032 in words is "nine million, two hundred twenty-eight thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 113 116 128 176 226 232 256 319 352 452 464 638 704 904 928 1243 1276 1408 1808 1856 2486 2552 2816 3277 3616 3712 4972 5104 6554 7232 7424 9944 10208 13108 14464 19888 20416 26216 28928 36047 39776 40832 52432 72094 79552 81664 104864 144188 159104 209728 288376 318208 419456 576752 838912 1153504 2307008 4614016 9228032