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23141826 = 23229431031
BaseRepresentation
bin101100001000…
…1110111000010
31121112201121200
41120101313002
521411014301
62144002030
7400462611
oct130216702
947481550
1023141826
1112076884
127900316
134a434b6
143105878
152071c86
hex1611dc2

23141826 has 48 divisors (see below), whose sum is σ = 53127360. Its totient is φ = 7267680.

The previous prime is 23141809. The next prime is 23141831. The reversal of 23141826 is 62814132.

It is a super-2 number, since 2×231418262 = 1071088221228552, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 23141826.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21931 + ... + 22961.

It is an arithmetic number, because the mean of its divisors is an integer number (1106820).

Almost surely, 223141826 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23141826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26563680).

23141826 is an abundant number, since it is smaller than the sum of its proper divisors (29985534).

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

23141826 is a wasteful number, since it uses less digits than its factorization.

23141826 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1108 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 23141826 is about 4810.5951814718. The cubic root of 23141826 is about 284.9700430193.

Adding to 23141826 its reverse (62814132), we get a palindrome (85955958).

The spelling of 23141826 in words is "twenty-three million, one hundred forty-one thousand, eight hundred twenty-six".

Divisors: 1 2 3 6 9 18 29 43 58 86 87 129 174 258 261 387 522 774 1031 1247 2062 2494 3093 3741 6186 7482 9279 11223 18558 22446 29899 44333 59798 88666 89697 132999 179394 265998 269091 398997 538182 797994 1285657 2571314 3856971 7713942 11570913 23141826