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23813226 = 23217591319
BaseRepresentation
bin101101011010…
…1110001101010
31122210211121100
41122311301222
522044010401
62210222230
7406260213
oct132656152
948724540
1023813226
1112495258
127b84976
134c19c88
14323c40a
152155b86
hex16b5c6a

23813226 has 48 divisors (see below), whose sum is σ = 55598400. Its totient is φ = 7338624.

The previous prime is 23813221. The next prime is 23813227. The reversal of 23813226 is 62231832.

It is a self number, because there is not a number n which added to its sum of digits gives 23813226.

It is not an unprimeable number, because it can be changed into a prime (23813221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17395 + ... + 18713.

It is an arithmetic number, because the mean of its divisors is an integer number (1158300).

Almost surely, 223813226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23813226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27799200).

23813226 is an abundant number, since it is smaller than the sum of its proper divisors (31785174).

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

23813226 is a wasteful number, since it uses less digits than its factorization.

23813226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403 (or 1400 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 23813226 is about 4879.8797116322. The cubic root of 23813226 is about 287.6997014541.

The spelling of 23813226 in words is "twenty-three million, eight hundred thirteen thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 17 18 34 51 59 102 118 153 177 306 354 531 1003 1062 1319 2006 2638 3009 3957 6018 7914 9027 11871 18054 22423 23742 44846 67269 77821 134538 155642 201807 233463 403614 466926 700389 1322957 1400778 2645914 3968871 7937742 11906613 23813226