Search a number
-
+
23255030016 = 28363532
BaseRepresentation
bin10101101010000110…
…111001100100000000
32020000200102221000000
4111222012321210000
5340111241430031
614403324000000
71452165331221
oct255206714400
966020387000
1023255030016
119953949279
124610090000
132267b731ba
1411a8717248
159118d93e6
hex56a1b9900

23255030016 has 189 divisors, whose sum is σ = 69794709649. Its totient is φ = 7729717248.

The previous prime is 23255029999. The next prime is 23255030017. The reversal of 23255030016 is 61003055232.

The square root of 23255030016 is 152496.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 9447840000 + 13807190016 = 97200^2 + 117504^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23255030017) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 65878096 + ... + 65878448.

Almost surely, 223255030016 is an apocalyptic number.

23255030016 is the 152496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23255030016

23255030016 is an abundant number, since it is smaller than the sum of its proper divisors (46539679633).

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

23255030016 is an frugal number, since it uses more digits than its factorization.

23255030016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 23255030016 its reverse (61003055232), we get a palindrome (84258085248).

The spelling of 23255030016 in words is "twenty-three billion, two hundred fifty-five million, thirty thousand, sixteen".