Search a number
-
+
10228736 = 21071427
BaseRepresentation
bin100111000001…
…010000000000
3201020200012002
4213001100000
510104304421
61003123132
7152641250
oct47012000
921220162
1010228736
115857001
1235134a8
132171a0b
141503960
15d70b0b
hex9c1400

10228736 has 44 divisors (see below), whose sum is σ = 23384928. Its totient is φ = 4380672.

The previous prime is 10228733. The next prime is 10228741. The reversal of 10228736 is 63782201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10228699 and 10228708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10228733) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6455 + ... + 7881.

Almost surely, 210228736 is an apocalyptic number.

10228736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10228736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11692464).

10228736 is an abundant number, since it is smaller than the sum of its proper divisors (13156192).

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

10228736 is an equidigital number, since it uses as much as digits as its factorization.

10228736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1454 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 10228736 is about 3198.2395157336. The cubic root of 10228736 is about 217.0737571979.

The spelling of 10228736 in words is "ten million, two hundred twenty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1427 1792 2854 3584 5708 7168 9989 11416 19978 22832 39956 45664 79912 91328 159824 182656 319648 365312 639296 730624 1278592 1461248 2557184 5114368 10228736