Search a number
-
+
9922240 = 265101307
BaseRepresentation
bin100101110110…
…011011000000
3200200002202101
4211312123000
510020002430
6552400144
7150223546
oct45663300
920602671
109922240
1156677a9
1233a6054
132095363
141463d96
15d0edca
hex9766c0

9922240 has 56 divisors (see below), whose sum is σ = 23938992. Its totient is φ = 3916800.

The previous prime is 9922229. The next prime is 9922247. The reversal of 9922240 is 422299.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 9922199 and 9922208.

It is not an unprimeable number, because it can be changed into a prime (9922247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32167 + ... + 32473.

It is an arithmetic number, because the mean of its divisors is an integer number (427482).

Almost surely, 29922240 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 9922240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11969496).

9922240 is an abundant number, since it is smaller than the sum of its proper divisors (14016752).

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

9922240 is a wasteful number, since it uses less digits than its factorization.

9922240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 9922240 is about 3149.9587298884. The cubic root of 9922240 is about 214.8835857968.

The spelling of 9922240 in words is "nine million, nine hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 101 160 202 307 320 404 505 614 808 1010 1228 1535 1616 2020 2456 3070 3232 4040 4912 6140 6464 8080 9824 12280 16160 19648 24560 31007 32320 49120 62014 98240 124028 155035 248056 310070 496112 620140 992224 1240280 1984448 2480560 4961120 9922240