Search a number
-
+
228002976 = 2532791677
BaseRepresentation
bin11011001011100…
…00110010100000
3120220000202021200
431211300302200
5431332043401
634342521200
75435664465
oct1545606240
9526022250
10228002976
1110777a013
1264436200
1338310306
14223d166c
151503b686
hexd970ca0

228002976 has 36 divisors (see below), whose sum is σ = 648384282. Its totient is φ = 76000896.

The previous prime is 228002953. The next prime is 228002977. The reversal of 228002976 is 679200822.

It can be written as a sum of positive squares in only one way, i.e., 199487376 + 28515600 = 14124^2 + 5340^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 228002976.

It is not an unprimeable number, because it can be changed into a prime (228002977) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 395551 + ... + 396126.

Almost surely, 2228002976 is an apocalyptic number.

It is an amenable number.

228002976 is an abundant number, since it is smaller than the sum of its proper divisors (420381306).

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

228002976 is a wasteful number, since it uses less digits than its factorization.

228002976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791693 (or 791682 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 228002976 is about 15099.7674154273. The cubic root of 228002976 is about 610.9141324182.

The spelling of 228002976 in words is "two hundred twenty-eight million, two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 791677 1583354 2375031 3166708 4750062 6333416 7125093 9500124 12666832 14250186 19000248 25333664 28500372 38000496 57000744 76000992 114001488 228002976