Search a number
-
+
123206226 = 231113373881
BaseRepresentation
bin1110101011111…
…11101001010010
322120211112011120
413111333221102
5223020044401
620120423110
73024143553
oct725775122
9276745146
10123206226
1163601730
1235317a96
131c6aa3c0
141251232a
15ac3a836
hex757fa52

123206226 has 64 divisors (see below), whose sum is σ = 297392256. Its totient is φ = 33523200.

The previous prime is 123206201. The next prime is 123206227. The reversal of 123206226 is 622602321.

It is a junction number, because it is equal to n+sod(n) for n = 123206196 and 123206205.

It is not an unprimeable number, because it can be changed into a prime (123206227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29806 + ... + 33686.

It is an arithmetic number, because the mean of its divisors is an integer number (4646754).

Almost surely, 2123206226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123206226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148696128).

123206226 is an abundant number, since it is smaller than the sum of its proper divisors (174186030).

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

123206226 is a wasteful number, since it uses less digits than its factorization.

123206226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3947.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 123206226 is about 11099.8299986982. The cubic root of 123206226 is about 497.5967687995.

Adding to 123206226 its reverse (622602321), we get a palindrome (745808547).

The spelling of 123206226 in words is "one hundred twenty-three million, two hundred six thousand, two hundred twenty-six".

Divisors: 1 2 3 6 11 13 22 26 33 37 39 66 74 78 111 143 222 286 407 429 481 814 858 962 1221 1443 2442 2886 3881 5291 7762 10582 11643 15873 23286 31746 42691 50453 85382 100906 128073 143597 151359 256146 287194 302718 430791 554983 861582 1109966 1579567 1664949 1866761 3159134 3329898 3733522 4738701 5600283 9477402 11200566 20534371 41068742 61603113 123206226