[go: up one dir, main page]

Search a number
-
+
10228356 = 223517619
BaseRepresentation
bin100111000001…
…001010000100
3201020122200000
4213001022010
510104301411
61003121300
7152640165
oct47011204
921218600
1010228356
115856796
123513230
1321717a8
14150376c
15d70956
hex9c1284

10228356 has 72 divisors (see below), whose sum is σ = 28435680. Its totient is φ = 3203712.

The previous prime is 10228321. The next prime is 10228363. The reversal of 10228356 is 65382201.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16215 + ... + 16833.

It is an arithmetic number, because the mean of its divisors is an integer number (394940).

Almost surely, 210228356 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 10228356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14217840).

10228356 is an abundant number, since it is smaller than the sum of its proper divisors (18207324).

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

10228356 is a wasteful number, since it uses less digits than its factorization.

10228356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 10228356 is about 3198.1801074986. The cubic root of 10228356 is about 217.0710690505.

The spelling of 10228356 in words is "ten million, two hundred twenty-eight thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 243 306 324 459 486 612 619 918 972 1238 1377 1836 1857 2476 2754 3714 4131 5508 5571 7428 8262 10523 11142 16524 16713 21046 22284 31569 33426 42092 50139 63138 66852 94707 100278 126276 150417 189414 200556 284121 300834 378828 568242 601668 852363 1136484 1704726 2557089 3409452 5114178 10228356