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BaseRepresentation
bin101100001001…
…1100101100100
31121120002022200
41120103211210
521411231100
62144054500
7400522335
oct130234544
947502280
1023148900
1112081125
127904430
134a46798
14310828c
152073e00
hex1613964

23148900 has 162 divisors, whose sum is σ = 77944230. Its totient is φ = 5744640.

The previous prime is 23148893. The next prime is 23148901. The reversal of 23148900 is 984132.

It can be written as a sum of positive squares in 9 ways, for example, as 3594816 + 19554084 = 1896^2 + 4422^2 .

It is not an unprimeable number, because it can be changed into a prime (23148901) 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 53 ways as a sum of consecutive naturals, for example, 260056 + ... + 260144.

Almost surely, 223148900 is an apocalyptic number.

23148900 is a gapful number since it is divisible by the number (20) 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 23148900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38972115).

23148900 is an abundant number, since it is smaller than the sum of its proper divisors (54795330).

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

23148900 is a wasteful number, since it uses less digits than its factorization.

23148900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 23148900 is about 4811.3303773489. The cubic root of 23148900 is about 284.9990766360. Note that the first 3 decimals are identical.

The spelling of 23148900 in words is "twenty-three million, one hundred forty-eight thousand, nine hundred".