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23148400 = 2452115261
BaseRepresentation
bin101100001001…
…1011101110000
31121120001122011
41120103131300
521411222100
62144052304
7400521022
oct130233560
947501564
1023148400
1112080810
127904094
134a464a2
143108012
152073bba
hex1613770

23148400 has 60 divisors (see below), whose sum is σ = 60681384. Its totient is φ = 8416000.

The previous prime is 23148383. The next prime is 23148401. The reversal of 23148400 is 484132.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23148401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1770 + ... + 7030.

Almost surely, 223148400 is an apocalyptic number.

23148400 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 23148400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30340692).

23148400 is an abundant number, since it is smaller than the sum of its proper divisors (37532984).

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

23148400 is a wasteful number, since it uses less digits than its factorization.

23148400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5290 (or 5279 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 23148400 is about 4811.2784163879. The cubic root of 23148400 is about 284.9970246945.

The spelling of 23148400 in words is "twenty-three million, one hundred forty-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 5261 10522 21044 26305 42088 52610 57871 84176 105220 115742 131525 210440 231484 263050 289355 420880 462968 526100 578710 925936 1052200 1157420 1446775 2104400 2314840 2893550 4629680 5787100 11574200 23148400