Search a number
-
+
23105478 = 23112331491
BaseRepresentation
bin101100000100…
…0111111000110
31121110212202110
41120020333012
521403333403
62143121450
7400251624
oct130107706
947425673
1023105478
1112051540
1278a3286
134a2caa6
1430d6514
152066103
hex1608fc6

23105478 has 64 divisors (see below), whose sum is σ = 54411264. Its totient is φ = 6468000.

The previous prime is 23105477. The next prime is 23105503. The reversal of 23105478 is 87450132.

It is a super-2 number, since 2×231054782 = 1067726227216968, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23105471) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46813 + ... + 47303.

It is an arithmetic number, because the mean of its divisors is an integer number (850176).

Almost surely, 223105478 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23105478, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27205632).

23105478 is an abundant number, since it is smaller than the sum of its proper divisors (31305786).

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

23105478 is a wasteful number, since it uses less digits than its factorization.

23105478 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561.

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 23105478 is about 4806.8157859440. The cubic root of 23105478 is about 284.8207675778.

It can be divided in two parts, 231054 and 78, that added together give a palindrome (231132).

The spelling of 23105478 in words is "twenty-three million, one hundred five thousand, four hundred seventy-eight".

Divisors: 1 2 3 6 11 22 23 31 33 46 62 66 69 93 138 186 253 341 491 506 682 713 759 982 1023 1426 1473 1518 2046 2139 2946 4278 5401 7843 10802 11293 15221 15686 16203 22586 23529 30442 32406 33879 45663 47058 67758 91326 124223 167431 248446 334862 350083 372669 502293 700166 745338 1004586 1050249 2100498 3850913 7701826 11552739 23105478