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23148384 = 253731937
BaseRepresentation
bin101100001001…
…1011101100000
31121120001121120
41120103131200
521411222014
62144052240
7400521000
oct130233540
947501546
1023148384
11120807a6
127904080
134a4648c
143108000
152073ba9
hex1613760

23148384 has 192 divisors, whose sum is σ = 76608000. Its totient is φ = 6096384.

The previous prime is 23148383. The next prime is 23148401. The reversal of 23148384 is 48384132.

It is a super-2 number, since 2×231483842 = 1071695363622912, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23148383) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 625614 + ... + 625650.

It is an arithmetic number, because the mean of its divisors is an integer number (399000).

Almost surely, 223148384 is an apocalyptic number.

23148384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23148384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38304000).

23148384 is an abundant number, since it is smaller than the sum of its proper divisors (53459616).

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

23148384 is a wasteful number, since it uses less digits than its factorization.

23148384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 68 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 23148384 is about 4811.2767536279. The cubic root of 23148384 is about 284.9969590319.

It can be divided in two parts, 23148 and 384, that added together give a palindrome (23532).

The spelling of 23148384 in words is "twenty-three million, one hundred forty-eight thousand, three hundred eighty-four".