Search a number
-
+
9229120 = 265151191
BaseRepresentation
bin100011001101…
…001101000000
3122100212222021
4203031031000
54330312440
6525451224
7141306025
oct43151500
918325867
109229120
115233a7a
123110b14
131bb1a24
14132354c
15c2484a
hex8cd340

9229120 has 56 divisors (see below), whose sum is σ = 22238208. Its totient is φ = 3648000.

The previous prime is 9229111. The next prime is 9229123. The reversal of 9229120 is 219229.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9229123) 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, 48225 + ... + 48415.

Almost surely, 29229120 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 9229120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11119104).

9229120 is an abundant number, since it is smaller than the sum of its proper divisors (13009088).

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

9229120 is a wasteful number, since it uses less digits than its factorization.

9229120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 9229120 is about 3037.9466749764. The cubic root of 9229120 is about 209.7587554703.

The spelling of 9229120 in words is "nine million, two hundred twenty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 151 160 191 302 320 382 604 755 764 955 1208 1510 1528 1910 2416 3020 3056 3820 4832 6040 6112 7640 9664 12080 12224 15280 24160 28841 30560 48320 57682 61120 115364 144205 230728 288410 461456 576820 922912 1153640 1845824 2307280 4614560 9229120