Search a number
-
+
23452000 = 2553111341
BaseRepresentation
bin101100101110…
…1100101100000
31122010111002121
41121131211200
522000431000
62154354024
7403224115
oct131354540
948114077
1023452000
1112268920
127a2b914
134b21730
14318690c
1520d3b1a
hex165d960

23452000 has 192 divisors, whose sum is σ = 69346368. Its totient is φ = 7680000.

The previous prime is 23451997. The next prime is 23452049. The reversal of 23452000 is 25432.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 571980 + ... + 572020.

It is an arithmetic number, because the mean of its divisors is an integer number (361179).

Almost surely, 223452000 is an apocalyptic number.

23452000 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 23452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34673184).

23452000 is an abundant number, since it is smaller than the sum of its proper divisors (45894368).

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

23452000 is a wasteful number, since it uses less digits than its factorization.

23452000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 23452000 is about 4842.7265047698. The cubic root of 23452000 is about 286.2375648508.

Adding to 23452000 its reverse (25432), we get a palindrome (23477432).

The spelling of 23452000 in words is "twenty-three million, four hundred fifty-two thousand".