Search a number
-
+
23138288 = 2429471061
BaseRepresentation
bin101100001000…
…0111111110000
31121112112202122
41120100333300
521410411123
62143533412
7400446365
oct130207760
947475678
1023138288
1112074158
1278ba268
134a419c4
14310446c
152070bc8
hex1610ff0

23138288 has 40 divisors (see below), whose sum is σ = 47407680. Its totient is φ = 10922240.

The previous prime is 23138287. The next prime is 23138303. The reversal of 23138288 is 88283132.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23138287) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21278 + ... + 22338.

It is an arithmetic number, because the mean of its divisors is an integer number (1185192).

Almost surely, 223138288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23138288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23703840).

23138288 is an abundant number, since it is smaller than the sum of its proper divisors (24269392).

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

23138288 is a wasteful number, since it uses less digits than its factorization.

23138288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1139 counting only the distinct ones).

The product of its digits is 18432, while the sum is 35.

The square root of 23138288 is about 4810.2274374503. The cubic root of 23138288 is about 284.9555198871.

It can be divided in two parts, 2313 and 8288, that added together give a palindrome (10601).

The spelling of 23138288 in words is "twenty-three million, one hundred thirty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 29 47 58 94 116 188 232 376 464 752 1061 1363 2122 2726 4244 5452 8488 10904 16976 21808 30769 49867 61538 99734 123076 199468 246152 398936 492304 797872 1446143 2892286 5784572 11569144 23138288