Search a number
-
+
9222480 = 2432512809
BaseRepresentation
bin100011001011…
…100101010000
3122100112212100
4203023211100
54330104410
6525400400
7141250461
oct43134520
918315770
109222480
115229a93
123109100
131bab9b7
141320d68
15c228c0
hex8cb950

9222480 has 60 divisors (see below), whose sum is σ = 30974580. Its totient is φ = 2459136.

The previous prime is 9222461. The next prime is 9222487. The reversal of 9222480 is 842229.

It can be written as a sum of positive squares in 2 ways, for example, as 3111696 + 6110784 = 1764^2 + 2472^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9222487) 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, 5685 + ... + 7124.

It is an arithmetic number, because the mean of its divisors is an integer number (516243).

Almost surely, 29222480 is an apocalyptic number.

9222480 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9222480 is an abundant number, since it is smaller than the sum of its proper divisors (21752100).

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

9222480 is a wasteful number, since it uses less digits than its factorization.

9222480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12828 (or 12819 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 9222480 is about 3036.8536349320. The cubic root of 9222480 is about 209.7084389254.

The spelling of 9222480 in words is "nine million, two hundred twenty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 12809 25618 38427 51236 64045 76854 102472 115281 128090 153708 192135 204944 230562 256180 307416 384270 461124 512360 576405 614832 768540 922248 1024720 1152810 1537080 1844496 2305620 3074160 4611240 9222480