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10775226 = 2371183281
BaseRepresentation
bin101001000110…
…101010111010
3202021102211110
4221012222322
510224301401
61022541150
7160405440
oct51065272
922242743
1010775226
11609a650
1237377b6
132303697
141606b90
15e2c9d6
hexa46aba

10775226 has 64 divisors (see below), whose sum is σ = 27288576. Its totient is φ = 2755200.

The previous prime is 10775213. The next prime is 10775243. The reversal of 10775226 is 62257701.

10775226 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×107752262 = 232210990702152, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10775193 and 10775202.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38206 + ... + 38486.

It is an arithmetic number, because the mean of its divisors is an integer number (426384).

Almost surely, 210775226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10775226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13644288).

10775226 is an abundant number, since it is smaller than the sum of its proper divisors (16513350).

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

10775226 is a wasteful number, since it uses less digits than its factorization.

10775226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387.

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 10775226 is about 3282.5639369249. The cubic root of 10775226 is about 220.8727453410.

The spelling of 10775226 in words is "ten million, seven hundred seventy-five thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 83 154 166 231 249 281 462 498 562 581 843 913 1162 1686 1743 1826 1967 2739 3091 3486 3934 5478 5901 6182 6391 9273 11802 12782 18546 19173 21637 23323 38346 43274 46646 64911 69969 129822 139938 163261 256553 326522 489783 513106 769659 979566 1539318 1795871 3591742 5387613 10775226