[go: up one dir, main page]

Search a number
-
+
23261766 = 231121792
BaseRepresentation
bin101100010111…
…1001001000110
31121202211010220
41120233021012
521423334031
62150325210
7401502363
oct130571106
947684126
1023261766
1112148a00
127959806
134a85c78
14313746a
152097596
hex162f246

23261766 has 36 divisors (see below), whose sum is σ = 51424716. Its totient is φ = 7009640.

The previous prime is 23261761. The next prime is 23261779. The reversal of 23261766 is 66716232.

It is a super-2 number, since 2×232617662 = 1082219514877512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23261761) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 129865 + ... + 130043.

Almost surely, 223261766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23261766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25712358).

23261766 is an abundant number, since it is smaller than the sum of its proper divisors (28162950).

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

23261766 is a wasteful number, since it uses less digits than its factorization.

23261766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 195 counting only the distinct ones).

The product of its digits is 18144, while the sum is 33.

The square root of 23261766 is about 4823.0453035401. The cubic root of 23261766 is about 285.4615114102.

Adding to 23261766 its reverse (66716232), we get a palindrome (89977998).

The spelling of 23261766 in words is "twenty-three million, two hundred sixty-one thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 11 22 33 66 121 179 242 358 363 537 726 1074 1969 3938 5907 11814 21659 32041 43318 64082 64977 96123 129954 192246 352451 704902 1057353 2114706 3876961 7753922 11630883 23261766