Search a number
-
+
228652992 = 263217191229
BaseRepresentation
bin11011010000011…
…11011111000000
3120221020202221100
431220033133000
5432013343432
634404454400
75444342541
oct1550173700
9527222840
10228652992
11108083417
12646aa400
13384aa139
14225204c8
151511907c
hexda0f7c0

228652992 has 168 divisors, whose sum is σ = 731062800. Its totient is φ = 67903488.

The previous prime is 228652987. The next prime is 228652999. The reversal of 228652992 is 299256822.

228652992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228652999) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185434 + ... + 186662.

Almost surely, 2228652992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228652992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365531400).

228652992 is an abundant number, since it is smaller than the sum of its proper divisors (502409808).

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

228652992 is a wasteful number, since it uses less digits than its factorization.

228652992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283 (or 1270 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 228652992 is about 15121.2761366229. The cubic root of 228652992 is about 611.4941353564.

It can be divided in two parts, 2286 and 52992, that added together give a triangular number (55278 = T332).

The spelling of 228652992 in words is "two hundred twenty-eight million, six hundred fifty-two thousand, nine hundred ninety-two".