Search a number
-
+
10574226 = 234135021
BaseRepresentation
bin101000010101…
…100110010010
3201220020010000
4220111212102
510201333401
61014350430
7155610435
oct50254622
921806100
1010574226
115a72633
12365b416
132263050
14159381c
15ddd186
hexa15992

10574226 has 40 divisors (see below), whose sum is σ = 25521804. Its totient is φ = 3252960.

The previous prime is 10574219. The next prime is 10574233. The reversal of 10574226 is 62247501.

It is an interprime number because it is at equal distance from previous prime (10574219) and next prime (10574233).

It can be written as a sum of positive squares in 2 ways, for example, as 10556001 + 18225 = 3249^2 + 135^2 .

It is a super-2 number, since 2×105742262 = 223628510998152, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10574226.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 405 + ... + 4616.

Almost surely, 210574226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10574226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12760902).

10574226 is an abundant number, since it is smaller than the sum of its proper divisors (14947578).

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

10574226 is a wasteful number, since it uses less digits than its factorization.

10574226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5048 (or 5039 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 10574226 is about 3251.8034995983. The cubic root of 10574226 is about 219.4907366504.

The spelling of 10574226 in words is "ten million, five hundred seventy-four thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 351 702 1053 2106 5021 10042 15063 30126 45189 65273 90378 130546 135567 195819 271134 391638 406701 587457 813402 1174914 1762371 3524742 5287113 10574226