Search a number
-
+
9229056 = 28361197
BaseRepresentation
bin100011001101…
…001100000000
3122100212212220
4203031030000
54330312211
6525451040
7141305604
oct43151400
918325786
109229056
115233a21
123110a80
131bb19a5
141323504
15c24806
hex8cd300

9229056 has 72 divisors (see below), whose sum is σ = 25092144. Its totient is φ = 3010560.

The previous prime is 9229037. The next prime is 9229057. The reversal of 9229056 is 6509229.

It is a super-2 number, since 2×92290562 = 170350949302272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9229057) 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, 46750 + ... + 46946.

It is an arithmetic number, because the mean of its divisors is an integer number (348502).

Almost surely, 29229056 is an apocalyptic number.

9229056 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 9229056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12546072).

9229056 is an abundant number, since it is smaller than the sum of its proper divisors (15863088).

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

9229056 is a wasteful number, since it uses less digits than its factorization.

9229056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 9229056 is about 3037.9361415277. The cubic root of 9229056 is about 209.7582706067.

The spelling of 9229056 in words is "nine million, two hundred twenty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 197 244 256 366 384 394 488 591 732 768 788 976 1182 1464 1576 1952 2364 2928 3152 3904 4728 5856 6304 7808 9456 11712 12017 12608 15616 18912 23424 24034 25216 36051 37824 46848 48068 50432 72102 75648 96136 144204 151296 192272 288408 384544 576816 769088 1153632 1538176 2307264 3076352 4614528 9229056