Search a number
-
+
23555532 = 223711133753
BaseRepresentation
bin101100111011…
…0110111001100
31122022202010010
41121312313030
522012234112
62200513220
7404135010
oct131666714
948282103
1023555532
1112329690
127a7b810
134b598b0
1431b2540
15210463c
hex1676dcc

23555532 has 192 divisors, whose sum is σ = 77220864. Its totient is φ = 5391360.

The previous prime is 23555531. The next prime is 23555533.

23555532 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (23555531) and next prime (23555533).

It is a self number, because there is not a number n which added to its sum of digits gives 23555532.

It is not an unprimeable number, because it can be changed into a prime (23555531) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 444418 + ... + 444470.

It is an arithmetic number, because the mean of its divisors is an integer number (402192).

Almost surely, 223555532 is an apocalyptic number.

23555532 is a gapful number since it is divisible by the number (22) 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 23555532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38610432).

23555532 is an abundant number, since it is smaller than the sum of its proper divisors (53665332).

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

23555532 is a wasteful number, since it uses less digits than its factorization.

23555532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 126 counting only the distinct ones).

The product of its digits is 22500, while the sum is 30.

The square root of 23555532 is about 4853.4041661498. The cubic root of 23555532 is about 286.6581579110.

It can be divided in two parts, 2355 and 5532, that added together give a palindrome (7887).

The spelling of 23555532 in words is "twenty-three million, five hundred fifty-five thousand, five hundred thirty-two".