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10222296 = 233771857
BaseRepresentation
bin100110111111…
…101011011000
3201020100100120
4212333223120
510104103141
61003033240
7152613420
oct46775330
921210316
1010222296
115852187
12350b820
13216bac6
141501480
15d6dc66
hex9bfad8

10222296 has 64 divisors (see below), whose sum is σ = 29652480. Its totient is φ = 2876160.

The previous prime is 10222291. The next prime is 10222307. The reversal of 10222296 is 69222201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11500 + ... + 12356.

It is an arithmetic number, because the mean of its divisors is an integer number (463320).

Almost surely, 210222296 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 10222296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14826240).

10222296 is an abundant number, since it is smaller than the sum of its proper divisors (19430184).

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

10222296 is a wasteful number, since it uses less digits than its factorization.

10222296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 10222296 is about 3197.2325533186. The cubic root of 10222296 is about 217.0281911742.

Adding to 10222296 its reverse (69222201), we get a palindrome (79444497).

The spelling of 10222296 in words is "ten million, two hundred twenty-two thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 71 84 142 168 213 284 426 497 568 852 857 994 1491 1704 1714 1988 2571 2982 3428 3976 5142 5964 5999 6856 10284 11928 11998 17997 20568 23996 35994 47992 60847 71988 121694 143976 182541 243388 365082 425929 486776 730164 851858 1277787 1460328 1703716 2555574 3407432 5111148 10222296