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9225840 = 2435132957
BaseRepresentation
bin100011001100…
…011001110000
3122100201110210
4203030121300
54330211330
6525424120
7141263331
oct43143160
918321423
109225840
115231568
12310b040
131bb03a0
141322288
15c238b0
hex8cc670

9225840 has 80 divisors (see below), whose sum is σ = 30810528. Its totient is φ = 2270208.

The previous prime is 9225809. The next prime is 9225859. The reversal of 9225840 is 485229.

9225840 = 152 + 162 + ... + 3022.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×92258402 = 170232247411200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 9225798 and 9225807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1642 + ... + 4598.

Almost surely, 29225840 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 9225840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15405264).

9225840 is an abundant number, since it is smaller than the sum of its proper divisors (21584688).

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

9225840 is a wasteful number, since it uses less digits than its factorization.

9225840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2986 (or 2980 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 9225840 is about 3037.4067886933. The cubic root of 9225840 is about 209.7339033269.

The spelling of 9225840 in words is "nine million, two hundred twenty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 2957 3120 5914 8871 11828 14785 17742 23656 29570 35484 38441 44355 47312 59140 70968 76882 88710 115323 118280 141936 153764 177420 192205 230646 236560 307528 354840 384410 461292 576615 615056 709680 768820 922584 1153230 1537640 1845168 2306460 3075280 4612920 9225840